Least Common Multiple of 5088/962, 1182/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5088/962, 1182/407 quickly i.e. 1002336/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5088/962, 1182/407 is 1002336/37.

LCM(5088/962, 1182/407) = 1002336/37

LCM of 5088/962, 1182/407

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 5088/962,1182/407

Given numbers are 5088/962,1182/407

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 5088,1182

Least Common Multiple of Numerators i.e. LCM of 5088,1182 is 1002336.

GCF of Denominators means GCF of 962,407 as per the given fractions.

GCF of 962,407 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5088,1182

LCM of Fractions 5088/962,1182/407 is 1002336/37

2 5088, 1182
3 2544, 591
848, 197

∴ So the LCM of the given numbers is 2 x 3 x 848 x 197 = 1002336

Least Common Multiple of 5088,1182 with GCF Formula

Least Common Multiple of 5088,1182 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 5088,1182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5088,1182) = 6

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

GCF(5088,1182) x common factors =6 x 1 = 6

LCM(5088,1182) = ( 5088 × 1182 ) / 6

LCM(5088,1182) = 6014016 / 6

LCM(5088,1182) = 1002336


Lets's calculate GCF of 962,407

37 962, 407
26, 11

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002336/37

Therefore the LCM of Fractions 5088/962,1182/407 is 1002336/37

Greatest Common Factor of 962,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,407 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 962,407 . The biggest common factor number is the GCF number.
So the greatest common factor 962,407 is 37.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5088/962, 1182/407

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 5088/962, 1182/407?

Answer: LCM of Numerators as per given numbers 5088/962, 1182/407 is

LCM of Numerators i.e. for 5088,1182 is 1002336

GCF of denominators i.e. for 962,407 is 37.

Thus, LCM of Fractions is 1002336/37.Finally, LCM of Fractions for 5088/962, 1182/407 is 1002336/37.