Least Common Multiple of 2132/60, 3468/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2132/60, 3468/857 quickly i.e. 1848444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2132/60, 3468/857 is 1848444.

LCM(2132/60, 3468/857) = 1848444

LCM of 2132/60, 3468/857

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 2132/60,3468/857

Given numbers are 2132/60,3468/857

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 2132,3468

Least Common Multiple of Numerators i.e. LCM of 2132,3468 is 1848444.

GCF of Denominators means GCF of 60,857 as per the given fractions.

GCF of 60,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2132,3468

LCM of Fractions 2132/60,3468/857 is 1848444

2 2132, 3468
2 1066, 1734
533, 867

∴ So the LCM of the given numbers is 2 x 2 x 533 x 867 = 1848444

Least Common Multiple of 2132,3468 with GCF Formula

Least Common Multiple of 2132,3468 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 2132,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2132,3468) = 4

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

GCF(2132,3468) x common factors =4 x 1 = 4

LCM(2132,3468) = ( 2132 × 3468 ) / 4

LCM(2132,3468) = 7393776 / 4

LCM(2132,3468) = 1848444


Lets's calculate GCF of 60,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1848444/1

Therefore the LCM of Fractions 2132/60,3468/857 is 1848444

Greatest Common Factor of 60,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,857 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 60,857 . The biggest common factor number is the GCF number.
So the greatest common factor 60,857 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2132/60, 3468/857

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 2132/60, 3468/857?

Answer: LCM of Numerators as per given numbers 2132/60, 3468/857 is

LCM of Numerators i.e. for 2132,3468 is 1848444

GCF of denominators i.e. for 60,857 is 1.

Thus, LCM of Fractions is 1848444.Finally, LCM of Fractions for 2132/60, 3468/857 is 1848444.