Least Common Multiple of 302/132, 4764/1086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/132, 4764/1086 quickly i.e. 119894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/132, 4764/1086 is 119894.

LCM(302/132, 4764/1086) = 119894

LCM of 302/132, 4764/1086

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 302/132,4764/1086

Given numbers are 302/132,4764/1086

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 302,4764

Least Common Multiple of Numerators i.e. LCM of 302,4764 is 719364.

GCF of Denominators means GCF of 132,1086 as per the given fractions.

GCF of 132,1086 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,4764

LCM of Fractions 302/132,4764/1086 is 119894

2 302, 4764
151, 2382

∴ So the LCM of the given numbers is 2 x 151 x 2382 = 719364

Least Common Multiple of 302,4764 with GCF Formula

Least Common Multiple of 302,4764 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 302,4764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,4764) = 2

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

GCF(302,4764) x common factors =2 x 1 = 2

LCM(302,4764) = ( 302 × 4764 ) / 2

LCM(302,4764) = 1438728 / 2

LCM(302,4764) = 719364


Lets's calculate GCF of 132,1086

2 132, 1086
3 66, 543
22, 181

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 719364/6

Therefore the LCM of Fractions 302/132,4764/1086 is 119894

Greatest Common Factor of 132,1086 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,1086 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 1086

List of positive integer factors of 1086 that divides 1086 without a remainder.

1,2,3,6,181,362,543,1086

Greatest Common Factor

We found the factors 132,1086 . The biggest common factor number is the GCF number.
So the greatest common factor 132,1086 is 6.


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 302/132, 4764/1086

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 302/132, 4764/1086?

Answer: LCM of Numerators as per given numbers 302/132, 4764/1086 is

LCM of Numerators i.e. for 302,4764 is 719364

GCF of denominators i.e. for 132,1086 is 6.

Thus, LCM of Fractions is 119894.Finally, LCM of Fractions for 302/132, 4764/1086 is 119894.