Least Common Multiple of 56/86, 280/17, 983/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/86, 280/17, 983/248 quickly i.e. 275240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/86, 280/17, 983/248 is 275240.

LCM(56/86, 280/17, 983/248) = 275240

LCM of 56/86, 280/17, 983/248

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 56/86,280/17,983/248

Given numbers are 56/86,280/17,983/248

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 56,280,983

Least Common Multiple of Numerators i.e. LCM of 56,280,983 is 275240.

GCF of Denominators means GCF of 86,17,248 as per the given fractions.

GCF of 86,17,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,280,983

LCM of Fractions 56/86,280/17,983/248 is 275240

2 56, 280, 983
2 28, 140, 983
2 14, 70, 983
7 7, 35, 983
1, 5, 983

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 5 x 983 = 275240

Least Common Multiple of 56,280,983 with GCF Formula

Least Common Multiple of 56,280,983 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 56,280,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,280,983) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,280,983) x common factors =1 x 56 = 56

LCM(56,280,983) = ( 56 × 280 × 983 ) / 56

LCM(56,280,983) = 15413440 / 56

LCM(56,280,983) = 275240


Lets's calculate GCF of 86,17,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275240/1

Therefore the LCM of Fractions 56/86,280/17,983/248 is 275240

Greatest Common Factor of 86,17,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,17,248 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 86,17,248 . The biggest common factor number is the GCF number.
So the greatest common factor 86,17,248 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 56/86, 280/17, 983/248

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 56/86, 280/17, 983/248?

Answer: LCM of Numerators as per given numbers 56/86, 280/17, 983/248 is

LCM of Numerators i.e. for 56,280,983 is 275240

GCF of denominators i.e. for 86,17,248 is 1.

Thus, LCM of Fractions is 275240.Finally, LCM of Fractions for 56/86, 280/17, 983/248 is 275240.