Least Common Multiple of 644/60, 527/1892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 644/60, 527/1892 quickly i.e. 84847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/60, 527/1892 is 84847.

LCM(644/60, 527/1892) = 84847

LCM of 644/60, 527/1892

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 644/60,527/1892

Given numbers are 644/60,527/1892

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 644,527

Least Common Multiple of Numerators i.e. LCM of 644,527 is 339388.

GCF of Denominators means GCF of 60,1892 as per the given fractions.

GCF of 60,1892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,527

LCM of Fractions 644/60,527/1892 is 84847

Given numbers has no common factors except 1. So, there LCM is their product i.e 339388

Least Common Multiple of 644,527 with GCF Formula

Least Common Multiple of 644,527 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 644,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,527) = 1

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

GCF(644,527) x common factors =1 x 1 = 1

LCM(644,527) = ( 644 × 527 ) / 1

LCM(644,527) = 339388 / 1

LCM(644,527) = 339388


Lets's calculate GCF of 60,1892

2 60, 1892
2 30, 946
15, 473

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339388/4

Therefore the LCM of Fractions 644/60,527/1892 is 84847

Greatest Common Factor of 60,1892 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,1892 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 1892

List of positive integer factors of 1892 that divides 1892 without a remainder.

1,2,4,11,22,43,44,86,172,473,946,1892

Greatest Common Factor

We found the factors 60,1892 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1892 is 4.


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Frequently Asked Questions on Fractional LCM of 644/60, 527/1892

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 644/60, 527/1892?

Answer: LCM of Numerators as per given numbers 644/60, 527/1892 is

LCM of Numerators i.e. for 644,527 is 339388

GCF of denominators i.e. for 60,1892 is 4.

Thus, LCM of Fractions is 84847.Finally, LCM of Fractions for 644/60, 527/1892 is 84847.