Least Common Multiple of 54/696, 1486/4189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/696, 1486/4189 quickly i.e. 40122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/696, 1486/4189 is 40122.

LCM(54/696, 1486/4189) = 40122

LCM of 54/696, 1486/4189

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 54/696,1486/4189

Given numbers are 54/696,1486/4189

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 54,1486

Least Common Multiple of Numerators i.e. LCM of 54,1486 is 40122.

GCF of Denominators means GCF of 696,4189 as per the given fractions.

GCF of 696,4189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,1486

LCM of Fractions 54/696,1486/4189 is 40122

2 54, 1486
27, 743

∴ So the LCM of the given numbers is 2 x 27 x 743 = 40122

Least Common Multiple of 54,1486 with GCF Formula

Least Common Multiple of 54,1486 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 54,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1486) = 2

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

GCF(54,1486) x common factors =2 x 1 = 2

LCM(54,1486) = ( 54 × 1486 ) / 2

LCM(54,1486) = 80244 / 2

LCM(54,1486) = 40122


Lets's calculate GCF of 696,4189

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40122/1

Therefore the LCM of Fractions 54/696,1486/4189 is 40122

Greatest Common Factor of 696,4189 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,4189 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 4189

List of positive integer factors of 4189 that divides 4189 without a remainder.

1,59,71,4189

Greatest Common Factor

We found the factors 696,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 696,4189 is 1.


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 54/696, 1486/4189

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 54/696, 1486/4189?

Answer: LCM of Numerators as per given numbers 54/696, 1486/4189 is

LCM of Numerators i.e. for 54,1486 is 40122

GCF of denominators i.e. for 696,4189 is 1.

Thus, LCM of Fractions is 40122.Finally, LCM of Fractions for 54/696, 1486/4189 is 40122.