Least Common Multiple of 22/359, 731/866, 869/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/359, 731/866, 869/385 quickly i.e. 1270478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/359, 731/866, 869/385 is 1270478.

LCM(22/359, 731/866, 869/385) = 1270478

LCM of 22/359, 731/866, 869/385

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 22/359,731/866,869/385

Given numbers are 22/359,731/866,869/385

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 22,731,869

Least Common Multiple of Numerators i.e. LCM of 22,731,869 is 1270478.

GCF of Denominators means GCF of 359,866,385 as per the given fractions.

GCF of 359,866,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,731,869

LCM of Fractions 22/359,731/866,869/385 is 1270478

11 22, 731, 869
2, 731, 79

∴ So the LCM of the given numbers is 11 x 2 x 731 x 79 = 1270478

Least Common Multiple of 22,731,869 with GCF Formula

Least Common Multiple of 22,731,869 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 22,731,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,731,869) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(22,731,869) x common factors =1 x 11 = 11

LCM(22,731,869) = ( 22 × 731 × 869 ) / 11

LCM(22,731,869) = 13975258 / 11

LCM(22,731,869) = 1270478


Lets's calculate GCF of 359,866,385

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1270478/1

Therefore the LCM of Fractions 22/359,731/866,869/385 is 1270478

Greatest Common Factor of 359,866,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,866,385 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 359,866,385 . The biggest common factor number is the GCF number.
So the greatest common factor 359,866,385 is 1.


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 22/359, 731/866, 869/385

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 22/359, 731/866, 869/385?

Answer: LCM of Numerators as per given numbers 22/359, 731/866, 869/385 is

LCM of Numerators i.e. for 22,731,869 is 1270478

GCF of denominators i.e. for 359,866,385 is 1.

Thus, LCM of Fractions is 1270478.Finally, LCM of Fractions for 22/359, 731/866, 869/385 is 1270478.