Least Common Multiple of 642/55, 812/11, 212/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/55, 812/11, 212/119 quickly i.e. 13814556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/55, 812/11, 212/119 is 13814556.

LCM(642/55, 812/11, 212/119) = 13814556

LCM of 642/55, 812/11, 212/119

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 642/55,812/11,212/119

Given numbers are 642/55,812/11,212/119

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 642,812,212

Least Common Multiple of Numerators i.e. LCM of 642,812,212 is 13814556.

GCF of Denominators means GCF of 55,11,119 as per the given fractions.

GCF of 55,11,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,812,212

LCM of Fractions 642/55,812/11,212/119 is 13814556

2 642, 812, 212
2 321, 406, 106
321, 203, 53

∴ So the LCM of the given numbers is 2 x 2 x 321 x 203 x 53 = 13814556

Least Common Multiple of 642,812,212 with GCF Formula

Least Common Multiple of 642,812,212 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 642,812,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,812,212) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(642,812,212) x common factors =2 x 4 = 8

LCM(642,812,212) = ( 642 × 812 × 212 ) / 8

LCM(642,812,212) = 110516448 / 8

LCM(642,812,212) = 13814556


Lets's calculate GCF of 55,11,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13814556/1

Therefore the LCM of Fractions 642/55,812/11,212/119 is 13814556

Greatest Common Factor of 55,11,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,11,119 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 55,11,119 . The biggest common factor number is the GCF number.
So the greatest common factor 55,11,119 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 642/55, 812/11, 212/119

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 642/55, 812/11, 212/119?

Answer: LCM of Numerators as per given numbers 642/55, 812/11, 212/119 is

LCM of Numerators i.e. for 642,812,212 is 13814556

GCF of denominators i.e. for 55,11,119 is 1.

Thus, LCM of Fractions is 13814556.Finally, LCM of Fractions for 642/55, 812/11, 212/119 is 13814556.