Least Common Multiple of 22/685, 11/969, 479/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/685, 11/969, 479/544 quickly i.e. 10538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/685, 11/969, 479/544 is 10538.

LCM(22/685, 11/969, 479/544) = 10538

LCM of 22/685, 11/969, 479/544

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 22/685,11/969,479/544

Given numbers are 22/685,11/969,479/544

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 22,11,479

Least Common Multiple of Numerators i.e. LCM of 22,11,479 is 10538.

GCF of Denominators means GCF of 685,969,544 as per the given fractions.

GCF of 685,969,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,11,479

LCM of Fractions 22/685,11/969,479/544 is 10538

11 22, 11, 479
2, 1, 479

∴ So the LCM of the given numbers is 11 x 2 x 1 x 479 = 10538

Least Common Multiple of 22,11,479 with GCF Formula

Least Common Multiple of 22,11,479 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 22,11,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,11,479) = 1

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

GCF(22,11,479) x common factors =1 x 11 = 11

LCM(22,11,479) = ( 22 × 11 × 479 ) / 11

LCM(22,11,479) = 115918 / 11

LCM(22,11,479) = 10538


Lets's calculate GCF of 685,969,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10538/1

Therefore the LCM of Fractions 22/685,11/969,479/544 is 10538

Greatest Common Factor of 685,969,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,969,544 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 685,969,544 . The biggest common factor number is the GCF number.
So the greatest common factor 685,969,544 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 22/685, 11/969, 479/544

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 22/685, 11/969, 479/544?

Answer: LCM of Numerators as per given numbers 22/685, 11/969, 479/544 is

LCM of Numerators i.e. for 22,11,479 is 10538

GCF of denominators i.e. for 685,969,544 is 1.

Thus, LCM of Fractions is 10538.Finally, LCM of Fractions for 22/685, 11/969, 479/544 is 10538.