Least Common Multiple of 56/832, 86/382, 617/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/832, 86/382, 617/271 quickly i.e. 1485736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/832, 86/382, 617/271 is 1485736.

LCM(56/832, 86/382, 617/271) = 1485736

LCM of 56/832, 86/382, 617/271

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 56/832,86/382,617/271

Given numbers are 56/832,86/382,617/271

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 56,86,617

Least Common Multiple of Numerators i.e. LCM of 56,86,617 is 1485736.

GCF of Denominators means GCF of 832,382,271 as per the given fractions.

GCF of 832,382,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,86,617

LCM of Fractions 56/832,86/382,617/271 is 1485736

2 56, 86, 617
28, 43, 617

∴ So the LCM of the given numbers is 2 x 28 x 43 x 617 = 1485736

Least Common Multiple of 56,86,617 with GCF Formula

Least Common Multiple of 56,86,617 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 56,86,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,86,617) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,86,617) x common factors =1 x 2 = 2

LCM(56,86,617) = ( 56 × 86 × 617 ) / 2

LCM(56,86,617) = 2971472 / 2

LCM(56,86,617) = 1485736


Lets's calculate GCF of 832,382,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485736/1

Therefore the LCM of Fractions 56/832,86/382,617/271 is 1485736

Greatest Common Factor of 832,382,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,382,271 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

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 832,382,271 . The biggest common factor number is the GCF number.
So the greatest common factor 832,382,271 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/832, 86/382, 617/271

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 56/832, 86/382, 617/271?

Answer: LCM of Numerators as per given numbers 56/832, 86/382, 617/271 is

LCM of Numerators i.e. for 56,86,617 is 1485736

GCF of denominators i.e. for 832,382,271 is 1.

Thus, LCM of Fractions is 1485736.Finally, LCM of Fractions for 56/832, 86/382, 617/271 is 1485736.