Least Common Multiple of 22/610, 23/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/610, 23/854 quickly i.e. 506/122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/610, 23/854 is 506/122.

LCM(22/610, 23/854) = 506/122

LCM of 22/610, 23/854

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 22/610,23/854

Given numbers are 22/610,23/854

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 22,23

Least Common Multiple of Numerators i.e. LCM of 22,23 is 506.

GCF of Denominators means GCF of 610,854 as per the given fractions.

GCF of 610,854 is 122 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,23

LCM of Fractions 22/610,23/854 is 506/122

Given numbers has no common factors except 1. So, there LCM is their product i.e 506

Least Common Multiple of 22,23 with GCF Formula

Least Common Multiple of 22,23 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 22,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,23) = 1

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

GCF(22,23) x common factors =1 x 1 = 1

LCM(22,23) = ( 22 × 23 ) / 1

LCM(22,23) = 506 / 1

LCM(22,23) = 506


Lets's calculate GCF of 610,854

2 610, 854
61 305, 427
5, 7

∴ So the GCF of the given numbers is 2 x 61 = 122

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506/122

Therefore the LCM of Fractions 22/610,23/854 is 506/122

Greatest Common Factor of 610,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,854 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 610,854 . The biggest common factor number is the GCF number.
So the greatest common factor 610,854 is 122.


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 22/610, 23/854

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 22/610, 23/854?

Answer: LCM of Numerators as per given numbers 22/610, 23/854 is

LCM of Numerators i.e. for 22,23 is 506

GCF of denominators i.e. for 610,854 is 122.

Thus, LCM of Fractions is 506/122.Finally, LCM of Fractions for 22/610, 23/854 is 506/122.