Least Common Multiple of 936/748, 6313/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/748, 6313/144 quickly i.e. 1477242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/748, 6313/144 is 1477242.

LCM(936/748, 6313/144) = 1477242

LCM of 936/748, 6313/144

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 936/748,6313/144

Given numbers are 936/748,6313/144

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 936,6313

Least Common Multiple of Numerators i.e. LCM of 936,6313 is 5908968.

GCF of Denominators means GCF of 748,144 as per the given fractions.

GCF of 748,144 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,6313

LCM of Fractions 936/748,6313/144 is 1477242

Given numbers has no common factors except 1. So, there LCM is their product i.e 5908968

Least Common Multiple of 936,6313 with GCF Formula

Least Common Multiple of 936,6313 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 936,6313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,6313) = 1

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

GCF(936,6313) x common factors =1 x 1 = 1

LCM(936,6313) = ( 936 × 6313 ) / 1

LCM(936,6313) = 5908968 / 1

LCM(936,6313) = 5908968


Lets's calculate GCF of 748,144

2 748, 144
2 374, 72
187, 36

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5908968/4

Therefore the LCM of Fractions 936/748,6313/144 is 1477242

Greatest Common Factor of 748,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,144 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 748,144 . The biggest common factor number is the GCF number.
So the greatest common factor 748,144 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 936/748, 6313/144

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 936/748, 6313/144?

Answer: LCM of Numerators as per given numbers 936/748, 6313/144 is

LCM of Numerators i.e. for 936,6313 is 5908968

GCF of denominators i.e. for 748,144 is 4.

Thus, LCM of Fractions is 1477242.Finally, LCM of Fractions for 936/748, 6313/144 is 1477242.