Least Common Multiple of 42/823, 50/876, 975/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/823, 50/876, 975/738 quickly i.e. 13650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/823, 50/876, 975/738 is 13650.

LCM(42/823, 50/876, 975/738) = 13650

LCM of 42/823, 50/876, 975/738

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 42/823,50/876,975/738

Given numbers are 42/823,50/876,975/738

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 42,50,975

Least Common Multiple of Numerators i.e. LCM of 42,50,975 is 13650.

GCF of Denominators means GCF of 823,876,738 as per the given fractions.

GCF of 823,876,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,50,975

LCM of Fractions 42/823,50/876,975/738 is 13650

2 42, 50, 975
3 21, 25, 975
5 7, 25, 325
5 7, 5, 65
7, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 7 x 1 x 13 = 13650

Least Common Multiple of 42,50,975 with GCF Formula

Least Common Multiple of 42,50,975 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 42,50,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,50,975) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(42,50,975) x common factors =1 x 150 = 150

LCM(42,50,975) = ( 42 × 50 × 975 ) / 150

LCM(42,50,975) = 2047500 / 150

LCM(42,50,975) = 13650


Lets's calculate GCF of 823,876,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13650/1

Therefore the LCM of Fractions 42/823,50/876,975/738 is 13650

Greatest Common Factor of 823,876,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,876,738 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 823,876,738 . The biggest common factor number is the GCF number.
So the greatest common factor 823,876,738 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 42/823, 50/876, 975/738

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 42/823, 50/876, 975/738?

Answer: LCM of Numerators as per given numbers 42/823, 50/876, 975/738 is

LCM of Numerators i.e. for 42,50,975 is 13650

GCF of denominators i.e. for 823,876,738 is 1.

Thus, LCM of Fractions is 13650.Finally, LCM of Fractions for 42/823, 50/876, 975/738 is 13650.