Least Common Multiple of 856/559, 5754/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 856/559, 5754/488 quickly i.e. 2462712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/559, 5754/488 is 2462712.

LCM(856/559, 5754/488) = 2462712

LCM of 856/559, 5754/488

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 856/559,5754/488

Given numbers are 856/559,5754/488

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 856,5754

Least Common Multiple of Numerators i.e. LCM of 856,5754 is 2462712.

GCF of Denominators means GCF of 559,488 as per the given fractions.

GCF of 559,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,5754

LCM of Fractions 856/559,5754/488 is 2462712

2 856, 5754
428, 2877

∴ So the LCM of the given numbers is 2 x 428 x 2877 = 2462712

Least Common Multiple of 856,5754 with GCF Formula

Least Common Multiple of 856,5754 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 856,5754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,5754) = 2

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

GCF(856,5754) x common factors =2 x 1 = 2

LCM(856,5754) = ( 856 × 5754 ) / 2

LCM(856,5754) = 4925424 / 2

LCM(856,5754) = 2462712


Lets's calculate GCF of 559,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462712/1

Therefore the LCM of Fractions 856/559,5754/488 is 2462712

Greatest Common Factor of 559,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,488 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 559,488 . The biggest common factor number is the GCF number.
So the greatest common factor 559,488 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 856/559, 5754/488

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 856/559, 5754/488?

Answer: LCM of Numerators as per given numbers 856/559, 5754/488 is

LCM of Numerators i.e. for 856,5754 is 2462712

GCF of denominators i.e. for 559,488 is 1.

Thus, LCM of Fractions is 2462712.Finally, LCM of Fractions for 856/559, 5754/488 is 2462712.