Least Common Multiple of 561/294, 322/980, 172/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/294, 322/980, 172/264 quickly i.e. 7767606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/294, 322/980, 172/264 is 7767606.

LCM(561/294, 322/980, 172/264) = 7767606

LCM of 561/294, 322/980, 172/264

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 561/294,322/980,172/264

Given numbers are 561/294,322/980,172/264

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 561,322,172

Least Common Multiple of Numerators i.e. LCM of 561,322,172 is 15535212.

GCF of Denominators means GCF of 294,980,264 as per the given fractions.

GCF of 294,980,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,322,172

LCM of Fractions 561/294,322/980,172/264 is 7767606

2 561, 322, 172
561, 161, 86

∴ So the LCM of the given numbers is 2 x 561 x 161 x 86 = 15535212

Least Common Multiple of 561,322,172 with GCF Formula

Least Common Multiple of 561,322,172 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 561,322,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,322,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(561,322,172) x common factors =1 x 2 = 2

LCM(561,322,172) = ( 561 × 322 × 172 ) / 2

LCM(561,322,172) = 31070424 / 2

LCM(561,322,172) = 15535212


Lets's calculate GCF of 294,980,264

2 294, 980, 264
147, 490, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15535212/2

Therefore the LCM of Fractions 561/294,322/980,172/264 is 7767606

Greatest Common Factor of 294,980,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,980,264 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 294,980,264 . The biggest common factor number is the GCF number.
So the greatest common factor 294,980,264 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 561/294, 322/980, 172/264

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 561/294, 322/980, 172/264?

Answer: LCM of Numerators as per given numbers 561/294, 322/980, 172/264 is

LCM of Numerators i.e. for 561,322,172 is 15535212

GCF of denominators i.e. for 294,980,264 is 2.

Thus, LCM of Fractions is 7767606.Finally, LCM of Fractions for 561/294, 322/980, 172/264 is 7767606.