Least Common Multiple of 749/502, 372/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 749/502, 372/502 quickly i.e. 278628/502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/502, 372/502 is 278628/502.

LCM(749/502, 372/502) = 278628/502

LCM of 749/502, 372/502

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 749/502,372/502

Given numbers are 749/502,372/502

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 749,372

Least Common Multiple of Numerators i.e. LCM of 749,372 is 278628.

GCF of Denominators means GCF of 502,502 as per the given fractions.

GCF of 502,502 is 502 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,372

LCM of Fractions 749/502,372/502 is 278628/502

Given numbers has no common factors except 1. So, there LCM is their product i.e 278628

Least Common Multiple of 749,372 with GCF Formula

Least Common Multiple of 749,372 with GCF Formula

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 749,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,372) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(749,372) x common factors =1 x 1 = 1

LCM(749,372) = ( 749 × 372 ) / 1

LCM(749,372) = 278628 / 1

LCM(749,372) = 278628


Lets's calculate GCF of 502,502

2 502, 502
251 251, 251
1, 1

∴ So the GCF of the given numbers is 2 x 251 = 502

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278628/502

Therefore the LCM of Fractions 749/502,372/502 is 278628/502

Greatest Common Factor of 502,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,502 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 502,502 . The biggest common factor number is the GCF number.
So the greatest common factor 502,502 is 502.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 749/502, 372/502

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 749/502, 372/502?

Answer: LCM of Numerators as per given numbers 749/502, 372/502 is

LCM of Numerators i.e. for 749,372 is 278628

GCF of denominators i.e. for 502,502 is 502.

Thus, LCM of Fractions is 278628/502.Finally, LCM of Fractions for 749/502, 372/502 is 278628/502.