What is the LCM of 30 and 75? The LCM of 30 and 75 is 150. To find the LCM of 30 and 75, we need to find the multiples of 30 and 75 (multiples of 30 = 30, 60, 90, 120 . . . . 150; multiples of 75 = 75, 150, 225, 300) and choose the smallest multiple that is exactly divisible by 30 and 75, i.e., 150.
What are the common factors of 30 75?
The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15. To check this result, divide 15 into 30 and then into 75, and verify that in each case the result is a whole number.
What does 75 and 100 both go into?
The common factors of 75 and 100 are 25, 5, 1, intersecting the two sets above. In the intersection factors of 75 ∩ factors of 100 the greatest element is 25. Therefore, the greatest common factor of 75 and 100 is 25.
Which is the greatest common factor of 30 and 75?
Prime factors of 75 are 3, 5. Prime factorization of 75 in exponential form is: List of positive integer factors of 30 that divides 30 without a remainder. List of positive integer factors of 75 that divides 30 without a remainder. We found the factors and prime factorization of 30 and 75. The biggest common factor number is the GCF number.
How to calculate the least common multiple of 30 and 75?
The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate greatest common factor 30 and 75, than apply into the LCM equation. Least common multiple can be found by multiplying the highest exponent prime factors of 30 and 75. First we will calculate the prime factors of 30 and 75. Prime factors of 30 are 2, 3, 5.
What is the greatest common factor of 30?
Greatest Common Factor of 30 and 75. Greatest common factor (GCF) of 30 and 75 is 15.
What is the formula for LCM ( 30, 75 )?
The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate greatest common factor 30 and 75, than apply into the LCM equation.