Least Common Multiple of 47/942, 48/735, 294/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/942, 48/735, 294/586 quickly i.e. 110544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/942, 48/735, 294/586 is 110544.

LCM(47/942, 48/735, 294/586) = 110544

LCM of 47/942, 48/735, 294/586

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 47/942,48/735,294/586

Given numbers are 47/942,48/735,294/586

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 47,48,294

Least Common Multiple of Numerators i.e. LCM of 47,48,294 is 110544.

GCF of Denominators means GCF of 942,735,586 as per the given fractions.

GCF of 942,735,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,48,294

LCM of Fractions 47/942,48/735,294/586 is 110544

2 47, 48, 294
3 47, 24, 147
47, 8, 49

∴ So the LCM of the given numbers is 2 x 3 x 47 x 8 x 49 = 110544

Least Common Multiple of 47,48,294 with GCF Formula

Least Common Multiple of 47,48,294 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 47,48,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,48,294) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(47,48,294) x common factors =1 x 6 = 6

LCM(47,48,294) = ( 47 × 48 × 294 ) / 6

LCM(47,48,294) = 663264 / 6

LCM(47,48,294) = 110544


Lets's calculate GCF of 942,735,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110544/1

Therefore the LCM of Fractions 47/942,48/735,294/586 is 110544

Greatest Common Factor of 942,735,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,735,586 By Matching Biggest Common Factor Method

Factors of 942

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

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

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 942,735,586 . The biggest common factor number is the GCF number.
So the greatest common factor 942,735,586 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 47/942, 48/735, 294/586

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 47/942, 48/735, 294/586?

Answer: LCM of Numerators as per given numbers 47/942, 48/735, 294/586 is

LCM of Numerators i.e. for 47,48,294 is 110544

GCF of denominators i.e. for 942,735,586 is 1.

Thus, LCM of Fractions is 110544.Finally, LCM of Fractions for 47/942, 48/735, 294/586 is 110544.