Least Common Multiple of 5258/132, 2982/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5258/132, 2982/462 quickly i.e. 118783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5258/132, 2982/462 is 118783.

LCM(5258/132, 2982/462) = 118783

LCM of 5258/132, 2982/462

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 5258/132,2982/462

Given numbers are 5258/132,2982/462

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 5258,2982

Least Common Multiple of Numerators i.e. LCM of 5258,2982 is 7839678.

GCF of Denominators means GCF of 132,462 as per the given fractions.

GCF of 132,462 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5258,2982

LCM of Fractions 5258/132,2982/462 is 118783

2 5258, 2982
2629, 1491

∴ So the LCM of the given numbers is 2 x 2629 x 1491 = 7839678

Least Common Multiple of 5258,2982 with GCF Formula

Least Common Multiple of 5258,2982 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 5258,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5258,2982) = 2

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

GCF(5258,2982) x common factors =2 x 1 = 2

LCM(5258,2982) = ( 5258 × 2982 ) / 2

LCM(5258,2982) = 15679356 / 2

LCM(5258,2982) = 7839678


Lets's calculate GCF of 132,462

2 132, 462
3 66, 231
11 22, 77
2, 7

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7839678/66

Therefore the LCM of Fractions 5258/132,2982/462 is 118783

Greatest Common Factor of 132,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,462 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 132,462 . The biggest common factor number is the GCF number.
So the greatest common factor 132,462 is 66.


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 5258/132, 2982/462

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 5258/132, 2982/462?

Answer: LCM of Numerators as per given numbers 5258/132, 2982/462 is

LCM of Numerators i.e. for 5258,2982 is 7839678

GCF of denominators i.e. for 132,462 is 66.

Thus, LCM of Fractions is 118783.Finally, LCM of Fractions for 5258/132, 2982/462 is 118783.