Least Common Multiple of 20/22, 10/844, 305/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/22, 10/844, 305/858 quickly i.e. 610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/22, 10/844, 305/858 is 610.

LCM(20/22, 10/844, 305/858) = 610

LCM of 20/22, 10/844, 305/858

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 20/22,10/844,305/858

Given numbers are 20/22,10/844,305/858

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 20,10,305

Least Common Multiple of Numerators i.e. LCM of 20,10,305 is 1220.

GCF of Denominators means GCF of 22,844,858 as per the given fractions.

GCF of 22,844,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,10,305

LCM of Fractions 20/22,10/844,305/858 is 610

2 20, 10, 305
5 10, 5, 305
2, 1, 61

∴ So the LCM of the given numbers is 2 x 5 x 2 x 1 x 61 = 1220

Least Common Multiple of 20,10,305 with GCF Formula

Least Common Multiple of 20,10,305 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 20,10,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,10,305) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(20,10,305) x common factors =5 x 10 = 50

LCM(20,10,305) = ( 20 × 10 × 305 ) / 50

LCM(20,10,305) = 61000 / 50

LCM(20,10,305) = 1220


Lets's calculate GCF of 22,844,858

2 22, 844, 858
11, 422, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1220/2

Therefore the LCM of Fractions 20/22,10/844,305/858 is 610

Greatest Common Factor of 22,844,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,844,858 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 22,844,858 . The biggest common factor number is the GCF number.
So the greatest common factor 22,844,858 is 2.


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 20/22, 10/844, 305/858

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 20/22, 10/844, 305/858?

Answer: LCM of Numerators as per given numbers 20/22, 10/844, 305/858 is

LCM of Numerators i.e. for 20,10,305 is 1220

GCF of denominators i.e. for 22,844,858 is 2.

Thus, LCM of Fractions is 610.Finally, LCM of Fractions for 20/22, 10/844, 305/858 is 610.