Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/752, 7239/4074 quickly i.e. 202692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/752, 7239/4074 is 202692.
LCM(56/752, 7239/4074) = 202692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/752,7239/4074
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 56,7239
Least Common Multiple of Numerators i.e. LCM of 56,7239 is 405384.
GCF of Denominators means GCF of 752,4074 as per the given fractions.
GCF of 752,4074 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,7239
Given numbers has no common factors except 1. So, there LCM is their product i.e 405384
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 56,7239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,7239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,7239) x common factors =1 x 1 = 1
LCM(56,7239) = ( 56 × 7239 ) / 1
LCM(56,7239) = 405384 / 1
LCM(56,7239) = 405384
Lets's calculate GCF of 752,4074
2 | 752, 4074 |
376, 2037 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405384/2
Therefore the LCM of Fractions 56/752,7239/4074 is 202692
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 4074
List of positive integer factors of 4074 that divides 4074 without a remainder.
1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074
Greatest Common Factor
We found the factors 752,4074 . The biggest common factor number is the GCF number.
So the greatest common factor 752,4074 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 56/752, 7239/4074?
Answer: LCM of Numerators as per given numbers 56/752, 7239/4074 is
LCM of Numerators i.e. for 56,7239 is 405384
GCF of denominators i.e. for 752,4074 is 2.
Thus, LCM of Fractions is 202692.Finally, LCM of Fractions for 56/752, 7239/4074 is 202692.