Least Common Multiple of 113/74, 742/26, 823/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 113/74, 742/26, 823/22 quickly i.e. 34502629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/74, 742/26, 823/22 is 34502629.

LCM(113/74, 742/26, 823/22) = 34502629

LCM of 113/74, 742/26, 823/22

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 113/74,742/26,823/22

Given numbers are 113/74,742/26,823/22

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 113,742,823

Least Common Multiple of Numerators i.e. LCM of 113,742,823 is 69005258.

GCF of Denominators means GCF of 74,26,22 as per the given fractions.

GCF of 74,26,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,742,823

LCM of Fractions 113/74,742/26,823/22 is 34502629

Given numbers has no common factors except 1. So, there LCM is their product i.e 69005258

Least Common Multiple of 113,742,823 with GCF Formula

Least Common Multiple of 113,742,823 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 113,742,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,742,823) = 1

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

GCF(113,742,823) x common factors =1 x 1 = 1

LCM(113,742,823) = ( 113 × 742 × 823 ) / 1

LCM(113,742,823) = 69005258 / 1

LCM(113,742,823) = 69005258


Lets's calculate GCF of 74,26,22

2 74, 26, 22
37, 13, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69005258/2

Therefore the LCM of Fractions 113/74,742/26,823/22 is 34502629

Greatest Common Factor of 74,26,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,26,22 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 22

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

1,2,11,22

Greatest Common Factor

We found the factors 74,26,22 . The biggest common factor number is the GCF number.
So the greatest common factor 74,26,22 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 113/74, 742/26, 823/22

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 113/74, 742/26, 823/22?

Answer: LCM of Numerators as per given numbers 113/74, 742/26, 823/22 is

LCM of Numerators i.e. for 113,742,823 is 69005258

GCF of denominators i.e. for 74,26,22 is 2.

Thus, LCM of Fractions is 34502629.Finally, LCM of Fractions for 113/74, 742/26, 823/22 is 34502629.