Least Common Multiple of 22/771, 85/219, 163/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/771, 85/219, 163/432 quickly i.e. 304810/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/771, 85/219, 163/432 is 304810/3.

LCM(22/771, 85/219, 163/432) = 304810/3

LCM of 22/771, 85/219, 163/432

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 22/771,85/219,163/432

Given numbers are 22/771,85/219,163/432

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 22,85,163

Least Common Multiple of Numerators i.e. LCM of 22,85,163 is 304810.

GCF of Denominators means GCF of 771,219,432 as per the given fractions.

GCF of 771,219,432 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,85,163

LCM of Fractions 22/771,85/219,163/432 is 304810/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 304810

Least Common Multiple of 22,85,163 with GCF Formula

Least Common Multiple of 22,85,163 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 22,85,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,85,163) = 1

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

GCF(22,85,163) x common factors =1 x 1 = 1

LCM(22,85,163) = ( 22 × 85 × 163 ) / 1

LCM(22,85,163) = 304810 / 1

LCM(22,85,163) = 304810


Lets's calculate GCF of 771,219,432

3 771, 219, 432
257, 73, 144

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304810/3

Therefore the LCM of Fractions 22/771,85/219,163/432 is 304810/3

Greatest Common Factor of 771,219,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,219,432 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 771,219,432 . The biggest common factor number is the GCF number.
So the greatest common factor 771,219,432 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/771, 85/219, 163/432

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 22/771, 85/219, 163/432?

Answer: LCM of Numerators as per given numbers 22/771, 85/219, 163/432 is

LCM of Numerators i.e. for 22,85,163 is 304810

GCF of denominators i.e. for 771,219,432 is 3.

Thus, LCM of Fractions is 304810/3.Finally, LCM of Fractions for 22/771, 85/219, 163/432 is 304810/3.