Least Common Multiple of 174/264, 542/870, 623/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/264, 542/870, 623/952 quickly i.e. 14688471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/264, 542/870, 623/952 is 14688471.

LCM(174/264, 542/870, 623/952) = 14688471

LCM of 174/264, 542/870, 623/952

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 174/264,542/870,623/952

Given numbers are 174/264,542/870,623/952

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 174,542,623

Least Common Multiple of Numerators i.e. LCM of 174,542,623 is 29376942.

GCF of Denominators means GCF of 264,870,952 as per the given fractions.

GCF of 264,870,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,542,623

LCM of Fractions 174/264,542/870,623/952 is 14688471

2 174, 542, 623
87, 271, 623

∴ So the LCM of the given numbers is 2 x 87 x 271 x 623 = 29376942

Least Common Multiple of 174,542,623 with GCF Formula

Least Common Multiple of 174,542,623 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 174,542,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,542,623) = 1

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

GCF(174,542,623) x common factors =1 x 2 = 2

LCM(174,542,623) = ( 174 × 542 × 623 ) / 2

LCM(174,542,623) = 58753884 / 2

LCM(174,542,623) = 29376942


Lets's calculate GCF of 264,870,952

2 264, 870, 952
132, 435, 476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29376942/2

Therefore the LCM of Fractions 174/264,542/870,623/952 is 14688471

Greatest Common Factor of 264,870,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,870,952 By Matching Biggest Common Factor Method

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

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 264,870,952 . The biggest common factor number is the GCF number.
So the greatest common factor 264,870,952 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 174/264, 542/870, 623/952

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 174/264, 542/870, 623/952?

Answer: LCM of Numerators as per given numbers 174/264, 542/870, 623/952 is

LCM of Numerators i.e. for 174,542,623 is 29376942

GCF of denominators i.e. for 264,870,952 is 2.

Thus, LCM of Fractions is 14688471.Finally, LCM of Fractions for 174/264, 542/870, 623/952 is 14688471.