The value of LCM of 120, 150 is the smallest common multiple of 120 and 150. The number satisfying the given condition is 600.
What is the LCM and HCF of 120 and 144?
Hence, HCF and LCM of 120 and 144 are 24 and 720 respectively. Note:Fundamental theorem of Arithmetic is also known as unique factorization theorem. In this example, the product of two given numbers 120 and 144 is 17,280.
What are the factors of 120?
Factors of 120
- Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
- Negative Factors of 120: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60 and -120.
- Prime Factors of 120: 2, 3, 5.
- Prime Factorization of 120: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5.
- Sum of Factors of 120: 360.
What is the HCF of 138?
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138 and factors of 103 are 1, 103. Therefore, the Lowest Common Multiple (LCM) of 138 and 103 is 14214 and Highest Common Factor (HCF) of 138 and 103 is 1.
What is the HCF of 300?
Gives remainder 0. Hence, 300 is a factor. Hence, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.
What’s the difference between a HCF and a LCM?
The HCF defines the greatest factor present in between given two or more numbers, whereas LCM defines the least number which is exactly divisible by two or more numbers. HCF is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
Which is the lowest common multiple ( LCM )?
Lowest common multiple ( LCM ( a,b ) ) = 120 . Highest common factor ( HCF ( a,b ) ) = 12 . One of the number is 24 . Let the other number be x . The other number is 60 . 2 and 5 are coprime and hence 12 is the HCF . Hence verified . Rate! Rate! Brainly Answering Legend Contest is active. Start answering! Not sure about the answer?
How to calculate HCF of 12 and 15?
HCF can be calculated using: 1. Factoring Example: Find the HCF of 12 and 15 using factors? Step 1: List all of the factors of the given numbers. Step 2: Circle or highlight the numbers that exist in the factors of both numbers and should be the greatest common number.
How to find the highest common factor in HCF?
Then multiply each factor the most number of times it occurs in any number. If the same multiple occurs more than once in both the given numbers, then multiply the factor the most number of times it occurs. In BYJU’S you can also learn, Prime Factorization Of Hcf And Lcm. Example: Find the Highest Common Factor of 25, 35 and 45.
