Least Common Multiple of 862/488, 1476/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/488, 1476/936 quickly i.e. 636156/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/488, 1476/936 is 636156/8.

LCM(862/488, 1476/936) = 636156/8

LCM of 862/488, 1476/936

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 862/488,1476/936

Given numbers are 862/488,1476/936

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 862,1476

Least Common Multiple of Numerators i.e. LCM of 862,1476 is 636156.

GCF of Denominators means GCF of 488,936 as per the given fractions.

GCF of 488,936 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,1476

LCM of Fractions 862/488,1476/936 is 636156/8

2 862, 1476
431, 738

∴ So the LCM of the given numbers is 2 x 431 x 738 = 636156

Least Common Multiple of 862,1476 with GCF Formula

Least Common Multiple of 862,1476 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 862,1476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,1476) = 2

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

GCF(862,1476) x common factors =2 x 1 = 2

LCM(862,1476) = ( 862 × 1476 ) / 2

LCM(862,1476) = 1272312 / 2

LCM(862,1476) = 636156


Lets's calculate GCF of 488,936

2 488, 936
2 244, 468
2 122, 234
61, 117

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 636156/8

Therefore the LCM of Fractions 862/488,1476/936 is 636156/8

Greatest Common Factor of 488,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,936 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 488,936 . The biggest common factor number is the GCF number.
So the greatest common factor 488,936 is 8.


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 862/488, 1476/936

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 862/488, 1476/936?

Answer: LCM of Numerators as per given numbers 862/488, 1476/936 is

LCM of Numerators i.e. for 862,1476 is 636156

GCF of denominators i.e. for 488,936 is 8.

Thus, LCM of Fractions is 636156/8.Finally, LCM of Fractions for 862/488, 1476/936 is 636156/8.