Least Common Multiple of 22/734, 5476/5076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/734, 5476/5076 quickly i.e. 30118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/734, 5476/5076 is 30118.

LCM(22/734, 5476/5076) = 30118

LCM of 22/734, 5476/5076

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 22/734,5476/5076

Given numbers are 22/734,5476/5076

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 22,5476

Least Common Multiple of Numerators i.e. LCM of 22,5476 is 60236.

GCF of Denominators means GCF of 734,5076 as per the given fractions.

GCF of 734,5076 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,5476

LCM of Fractions 22/734,5476/5076 is 30118

2 22, 5476
11, 2738

∴ So the LCM of the given numbers is 2 x 11 x 2738 = 60236

Least Common Multiple of 22,5476 with GCF Formula

Least Common Multiple of 22,5476 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 22,5476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,5476) = 2

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

GCF(22,5476) x common factors =2 x 1 = 2

LCM(22,5476) = ( 22 × 5476 ) / 2

LCM(22,5476) = 120472 / 2

LCM(22,5476) = 60236


Lets's calculate GCF of 734,5076

2 734, 5076
367, 2538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60236/2

Therefore the LCM of Fractions 22/734,5476/5076 is 30118

Greatest Common Factor of 734,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,5076 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 734,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 734,5076 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/734, 5476/5076

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 22/734, 5476/5076?

Answer: LCM of Numerators as per given numbers 22/734, 5476/5076 is

LCM of Numerators i.e. for 22,5476 is 60236

GCF of denominators i.e. for 734,5076 is 2.

Thus, LCM of Fractions is 30118.Finally, LCM of Fractions for 22/734, 5476/5076 is 30118.