Least Common Multiple of 42/874, 413/48, 793/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/874, 413/48, 793/641 quickly i.e. 1965054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/874, 413/48, 793/641 is 1965054.

LCM(42/874, 413/48, 793/641) = 1965054

LCM of 42/874, 413/48, 793/641

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 42/874,413/48,793/641

Given numbers are 42/874,413/48,793/641

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 42,413,793

Least Common Multiple of Numerators i.e. LCM of 42,413,793 is 1965054.

GCF of Denominators means GCF of 874,48,641 as per the given fractions.

GCF of 874,48,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,413,793

LCM of Fractions 42/874,413/48,793/641 is 1965054

7 42, 413, 793
6, 59, 793

∴ So the LCM of the given numbers is 7 x 6 x 59 x 793 = 1965054

Least Common Multiple of 42,413,793 with GCF Formula

Least Common Multiple of 42,413,793 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 42,413,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,413,793) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,413,793) x common factors =1 x 7 = 7

LCM(42,413,793) = ( 42 × 413 × 793 ) / 7

LCM(42,413,793) = 13755378 / 7

LCM(42,413,793) = 1965054


Lets's calculate GCF of 874,48,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1965054/1

Therefore the LCM of Fractions 42/874,413/48,793/641 is 1965054

Greatest Common Factor of 874,48,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,48,641 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 641

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

1,641

Greatest Common Factor

We found the factors 874,48,641 . The biggest common factor number is the GCF number.
So the greatest common factor 874,48,641 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 42/874, 413/48, 793/641

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 42/874, 413/48, 793/641?

Answer: LCM of Numerators as per given numbers 42/874, 413/48, 793/641 is

LCM of Numerators i.e. for 42,413,793 is 1965054

GCF of denominators i.e. for 874,48,641 is 1.

Thus, LCM of Fractions is 1965054.Finally, LCM of Fractions for 42/874, 413/48, 793/641 is 1965054.