Least Common Multiple of 56/83, 34/464, 288/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/83, 34/464, 288/271 quickly i.e. 34272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/83, 34/464, 288/271 is 34272.

LCM(56/83, 34/464, 288/271) = 34272

LCM of 56/83, 34/464, 288/271

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 56/83,34/464,288/271

Given numbers are 56/83,34/464,288/271

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 56,34,288

Least Common Multiple of Numerators i.e. LCM of 56,34,288 is 34272.

GCF of Denominators means GCF of 83,464,271 as per the given fractions.

GCF of 83,464,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,34,288

LCM of Fractions 56/83,34/464,288/271 is 34272

2 56, 34, 288
2 28, 17, 144
2 14, 17, 72
7, 17, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 17 x 36 = 34272

Least Common Multiple of 56,34,288 with GCF Formula

Least Common Multiple of 56,34,288 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 56,34,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,34,288) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,34,288) x common factors =2 x 8 = 16

LCM(56,34,288) = ( 56 × 34 × 288 ) / 16

LCM(56,34,288) = 548352 / 16

LCM(56,34,288) = 34272


Lets's calculate GCF of 83,464,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34272/1

Therefore the LCM of Fractions 56/83,34/464,288/271 is 34272

Greatest Common Factor of 83,464,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,464,271 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 83,464,271 . The biggest common factor number is the GCF number.
So the greatest common factor 83,464,271 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 56/83, 34/464, 288/271

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 56/83, 34/464, 288/271?

Answer: LCM of Numerators as per given numbers 56/83, 34/464, 288/271 is

LCM of Numerators i.e. for 56,34,288 is 34272

GCF of denominators i.e. for 83,464,271 is 1.

Thus, LCM of Fractions is 34272.Finally, LCM of Fractions for 56/83, 34/464, 288/271 is 34272.