Least Common Multiple of 53/187, 26/707, 212/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/187, 26/707, 212/889 quickly i.e. 2756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/187, 26/707, 212/889 is 2756.

LCM(53/187, 26/707, 212/889) = 2756

LCM of 53/187, 26/707, 212/889

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 53/187,26/707,212/889

Given numbers are 53/187,26/707,212/889

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 53,26,212

Least Common Multiple of Numerators i.e. LCM of 53,26,212 is 2756.

GCF of Denominators means GCF of 187,707,889 as per the given fractions.

GCF of 187,707,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,26,212

LCM of Fractions 53/187,26/707,212/889 is 2756

2 53, 26, 212
53 53, 13, 106
1, 13, 2

∴ So the LCM of the given numbers is 2 x 53 x 1 x 13 x 2 = 2756

Least Common Multiple of 53,26,212 with GCF Formula

Least Common Multiple of 53,26,212 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 53,26,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,26,212) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(53,26,212) x common factors =1 x 106 = 106

LCM(53,26,212) = ( 53 × 26 × 212 ) / 106

LCM(53,26,212) = 292136 / 106

LCM(53,26,212) = 2756


Lets's calculate GCF of 187,707,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2756/1

Therefore the LCM of Fractions 53/187,26/707,212/889 is 2756

Greatest Common Factor of 187,707,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,707,889 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 187,707,889 . The biggest common factor number is the GCF number.
So the greatest common factor 187,707,889 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 53/187, 26/707, 212/889

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 53/187, 26/707, 212/889?

Answer: LCM of Numerators as per given numbers 53/187, 26/707, 212/889 is

LCM of Numerators i.e. for 53,26,212 is 2756

GCF of denominators i.e. for 187,707,889 is 1.

Thus, LCM of Fractions is 2756.Finally, LCM of Fractions for 53/187, 26/707, 212/889 is 2756.