Least Common Multiple of 917/270, 917/641, 609/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 917/270, 917/641, 609/126 quickly i.e. 79779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/270, 917/641, 609/126 is 79779.

LCM(917/270, 917/641, 609/126) = 79779

LCM of 917/270, 917/641, 609/126

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 917/270,917/641,609/126

Given numbers are 917/270,917/641,609/126

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 917,917,609

Least Common Multiple of Numerators i.e. LCM of 917,917,609 is 79779.

GCF of Denominators means GCF of 270,641,126 as per the given fractions.

GCF of 270,641,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,917,609

LCM of Fractions 917/270,917/641,609/126 is 79779

7 917, 917, 609
131 131, 131, 87
1, 1, 87

∴ So the LCM of the given numbers is 7 x 131 x 1 x 1 x 87 = 79779

Least Common Multiple of 917,917,609 with GCF Formula

Least Common Multiple of 917,917,609 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 917,917,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,917,609) = 7

common factors(in case of two or more numbers have common factors) = 917

GCF(917,917,609) x common factors =7 x 917 = 6419

LCM(917,917,609) = ( 917 × 917 × 609 ) / 6419

LCM(917,917,609) = 512101401 / 6419

LCM(917,917,609) = 79779


Lets's calculate GCF of 270,641,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79779/1

Therefore the LCM of Fractions 917/270,917/641,609/126 is 79779

Greatest Common Factor of 270,641,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,641,126 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 270,641,126 . The biggest common factor number is the GCF number.
So the greatest common factor 270,641,126 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 917/270, 917/641, 609/126

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 917/270, 917/641, 609/126?

Answer: LCM of Numerators as per given numbers 917/270, 917/641, 609/126 is

LCM of Numerators i.e. for 917,917,609 is 79779

GCF of denominators i.e. for 270,641,126 is 1.

Thus, LCM of Fractions is 79779.Finally, LCM of Fractions for 917/270, 917/641, 609/126 is 79779.