Least Common Multiple of 1407/156, 7352/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1407/156, 7352/232 quickly i.e. 2586066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1407/156, 7352/232 is 2586066.

LCM(1407/156, 7352/232) = 2586066

LCM of 1407/156, 7352/232

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 1407/156,7352/232

Given numbers are 1407/156,7352/232

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 1407,7352

Least Common Multiple of Numerators i.e. LCM of 1407,7352 is 10344264.

GCF of Denominators means GCF of 156,232 as per the given fractions.

GCF of 156,232 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1407,7352

LCM of Fractions 1407/156,7352/232 is 2586066

Given numbers has no common factors except 1. So, there LCM is their product i.e 10344264

Least Common Multiple of 1407,7352 with GCF Formula

Least Common Multiple of 1407,7352 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 1407,7352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1407,7352) = 1

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

GCF(1407,7352) x common factors =1 x 1 = 1

LCM(1407,7352) = ( 1407 × 7352 ) / 1

LCM(1407,7352) = 10344264 / 1

LCM(1407,7352) = 10344264


Lets's calculate GCF of 156,232

2 156, 232
2 78, 116
39, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10344264/4

Therefore the LCM of Fractions 1407/156,7352/232 is 2586066

Greatest Common Factor of 156,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,232 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 156,232 . The biggest common factor number is the GCF number.
So the greatest common factor 156,232 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1407/156, 7352/232

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 1407/156, 7352/232?

Answer: LCM of Numerators as per given numbers 1407/156, 7352/232 is

LCM of Numerators i.e. for 1407,7352 is 10344264

GCF of denominators i.e. for 156,232 is 4.

Thus, LCM of Fractions is 2586066.Finally, LCM of Fractions for 1407/156, 7352/232 is 2586066.