Least Common Multiple of 40/588, 4072/8948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/588, 4072/8948 quickly i.e. 5090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/588, 4072/8948 is 5090.

LCM(40/588, 4072/8948) = 5090

LCM of 40/588, 4072/8948

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 40/588,4072/8948

Given numbers are 40/588,4072/8948

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 40,4072

Least Common Multiple of Numerators i.e. LCM of 40,4072 is 20360.

GCF of Denominators means GCF of 588,8948 as per the given fractions.

GCF of 588,8948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,4072

LCM of Fractions 40/588,4072/8948 is 5090

2 40, 4072
2 20, 2036
2 10, 1018
5, 509

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 509 = 20360

Least Common Multiple of 40,4072 with GCF Formula

Least Common Multiple of 40,4072 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 40,4072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,4072) = 8

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

GCF(40,4072) x common factors =8 x 1 = 8

LCM(40,4072) = ( 40 × 4072 ) / 8

LCM(40,4072) = 162880 / 8

LCM(40,4072) = 20360


Lets's calculate GCF of 588,8948

2 588, 8948
2 294, 4474
147, 2237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20360/4

Therefore the LCM of Fractions 40/588,4072/8948 is 5090

Greatest Common Factor of 588,8948 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,8948 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1,2,4,2237,4474,8948

Greatest Common Factor

We found the factors 588,8948 . The biggest common factor number is the GCF number.
So the greatest common factor 588,8948 is 4.


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 40/588, 4072/8948

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 40/588, 4072/8948?

Answer: LCM of Numerators as per given numbers 40/588, 4072/8948 is

LCM of Numerators i.e. for 40,4072 is 20360

GCF of denominators i.e. for 588,8948 is 4.

Thus, LCM of Fractions is 5090.Finally, LCM of Fractions for 40/588, 4072/8948 is 5090.