Least Common Multiple of 87/29, 256/49, 270/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/29, 256/49, 270/443 quickly i.e. 1002240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/29, 256/49, 270/443 is 1002240.

LCM(87/29, 256/49, 270/443) = 1002240

LCM of 87/29, 256/49, 270/443

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 87/29,256/49,270/443

Given numbers are 87/29,256/49,270/443

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 87,256,270

Least Common Multiple of Numerators i.e. LCM of 87,256,270 is 1002240.

GCF of Denominators means GCF of 29,49,443 as per the given fractions.

GCF of 29,49,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,256,270

LCM of Fractions 87/29,256/49,270/443 is 1002240

2 87, 256, 270
3 87, 128, 135
29, 128, 45

∴ So the LCM of the given numbers is 2 x 3 x 29 x 128 x 45 = 1002240

Least Common Multiple of 87,256,270 with GCF Formula

Least Common Multiple of 87,256,270 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 87,256,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,256,270) = 1

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

GCF(87,256,270) x common factors =1 x 6 = 6

LCM(87,256,270) = ( 87 × 256 × 270 ) / 6

LCM(87,256,270) = 6013440 / 6

LCM(87,256,270) = 1002240


Lets's calculate GCF of 29,49,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002240/1

Therefore the LCM of Fractions 87/29,256/49,270/443 is 1002240

Greatest Common Factor of 29,49,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,49,443 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 29,49,443 . The biggest common factor number is the GCF number.
So the greatest common factor 29,49,443 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 87/29, 256/49, 270/443

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 87/29, 256/49, 270/443?

Answer: LCM of Numerators as per given numbers 87/29, 256/49, 270/443 is

LCM of Numerators i.e. for 87,256,270 is 1002240

GCF of denominators i.e. for 29,49,443 is 1.

Thus, LCM of Fractions is 1002240.Finally, LCM of Fractions for 87/29, 256/49, 270/443 is 1002240.