Least Common Multiple of 952/42, 944/78, 509/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/42, 944/78, 509/717 quickly i.e. 57179024/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/42, 944/78, 509/717 is 57179024/3.

LCM(952/42, 944/78, 509/717) = 57179024/3

LCM of 952/42, 944/78, 509/717

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 952/42,944/78,509/717

Given numbers are 952/42,944/78,509/717

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 952,944,509

Least Common Multiple of Numerators i.e. LCM of 952,944,509 is 57179024.

GCF of Denominators means GCF of 42,78,717 as per the given fractions.

GCF of 42,78,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,944,509

LCM of Fractions 952/42,944/78,509/717 is 57179024/3

2 952, 944, 509
2 476, 472, 509
2 238, 236, 509
119, 118, 509

∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 118 x 509 = 57179024

Least Common Multiple of 952,944,509 with GCF Formula

Least Common Multiple of 952,944,509 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 952,944,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,944,509) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(952,944,509) x common factors =1 x 8 = 8

LCM(952,944,509) = ( 952 × 944 × 509 ) / 8

LCM(952,944,509) = 457432192 / 8

LCM(952,944,509) = 57179024


Lets's calculate GCF of 42,78,717

3 42, 78, 717
14, 26, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57179024/3

Therefore the LCM of Fractions 952/42,944/78,509/717 is 57179024/3

Greatest Common Factor of 42,78,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,78,717 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 42,78,717 . The biggest common factor number is the GCF number.
So the greatest common factor 42,78,717 is 3.


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 952/42, 944/78, 509/717

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 952/42, 944/78, 509/717?

Answer: LCM of Numerators as per given numbers 952/42, 944/78, 509/717 is

LCM of Numerators i.e. for 952,944,509 is 57179024

GCF of denominators i.e. for 42,78,717 is 3.

Thus, LCM of Fractions is 57179024/3.Finally, LCM of Fractions for 952/42, 944/78, 509/717 is 57179024/3.