Least Common Multiple of 913/42, 858/1143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 913/42, 858/1143 quickly i.e. 23738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/42, 858/1143 is 23738.

LCM(913/42, 858/1143) = 23738

LCM of 913/42, 858/1143

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 913/42,858/1143

Given numbers are 913/42,858/1143

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 913,858

Least Common Multiple of Numerators i.e. LCM of 913,858 is 71214.

GCF of Denominators means GCF of 42,1143 as per the given fractions.

GCF of 42,1143 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,858

LCM of Fractions 913/42,858/1143 is 23738

11 913, 858
83, 78

∴ So the LCM of the given numbers is 11 x 83 x 78 = 71214

Least Common Multiple of 913,858 with GCF Formula

Least Common Multiple of 913,858 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 913,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,858) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(913,858) x common factors =11 x 1 = 11

LCM(913,858) = ( 913 × 858 ) / 11

LCM(913,858) = 783354 / 11

LCM(913,858) = 71214


Lets's calculate GCF of 42,1143

3 42, 1143
14, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71214/3

Therefore the LCM of Fractions 913/42,858/1143 is 23738

Greatest Common Factor of 42,1143 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1143 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 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors 42,1143 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1143 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 913/42, 858/1143

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 913/42, 858/1143?

Answer: LCM of Numerators as per given numbers 913/42, 858/1143 is

LCM of Numerators i.e. for 913,858 is 71214

GCF of denominators i.e. for 42,1143 is 3.

Thus, LCM of Fractions is 23738.Finally, LCM of Fractions for 913/42, 858/1143 is 23738.