Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/94, 32/450, 651/252 quickly i.e. 385392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/94, 32/450, 651/252 is 385392.
LCM(37/94, 32/450, 651/252) = 385392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/94,32/450,651/252
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 37,32,651
Least Common Multiple of Numerators i.e. LCM of 37,32,651 is 770784.
GCF of Denominators means GCF of 94,450,252 as per the given fractions.
GCF of 94,450,252 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,32,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 770784
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 37,32,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,32,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,32,651) x common factors =1 x 1 = 1
LCM(37,32,651) = ( 37 × 32 × 651 ) / 1
LCM(37,32,651) = 770784 / 1
LCM(37,32,651) = 770784
Lets's calculate GCF of 94,450,252
2 | 94, 450, 252 |
47, 225, 126 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770784/2
Therefore the LCM of Fractions 37/94,32/450,651/252 is 385392
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 94,450,252 . The biggest common factor number is the GCF number.
So the greatest common factor 94,450,252 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 37/94, 32/450, 651/252?
Answer: LCM of Numerators as per given numbers 37/94, 32/450, 651/252 is
LCM of Numerators i.e. for 37,32,651 is 770784
GCF of denominators i.e. for 94,450,252 is 2.
Thus, LCM of Fractions is 385392.Finally, LCM of Fractions for 37/94, 32/450, 651/252 is 385392.