Least Common Multiple of 75/46, 24/871, 607/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/46, 24/871, 607/942 quickly i.e. 364200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/46, 24/871, 607/942 is 364200.

LCM(75/46, 24/871, 607/942) = 364200

LCM of 75/46, 24/871, 607/942

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 75/46,24/871,607/942

Given numbers are 75/46,24/871,607/942

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 75,24,607

Least Common Multiple of Numerators i.e. LCM of 75,24,607 is 364200.

GCF of Denominators means GCF of 46,871,942 as per the given fractions.

GCF of 46,871,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,24,607

LCM of Fractions 75/46,24/871,607/942 is 364200

3 75, 24, 607
25, 8, 607

∴ So the LCM of the given numbers is 3 x 25 x 8 x 607 = 364200

Least Common Multiple of 75,24,607 with GCF Formula

Least Common Multiple of 75,24,607 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 75,24,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,24,607) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,24,607) x common factors =1 x 3 = 3

LCM(75,24,607) = ( 75 × 24 × 607 ) / 3

LCM(75,24,607) = 1092600 / 3

LCM(75,24,607) = 364200


Lets's calculate GCF of 46,871,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364200/1

Therefore the LCM of Fractions 75/46,24/871,607/942 is 364200

Greatest Common Factor of 46,871,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,871,942 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 46,871,942 . The biggest common factor number is the GCF number.
So the greatest common factor 46,871,942 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 75/46, 24/871, 607/942

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 75/46, 24/871, 607/942?

Answer: LCM of Numerators as per given numbers 75/46, 24/871, 607/942 is

LCM of Numerators i.e. for 75,24,607 is 364200

GCF of denominators i.e. for 46,871,942 is 1.

Thus, LCM of Fractions is 364200.Finally, LCM of Fractions for 75/46, 24/871, 607/942 is 364200.