Least Common Multiple of 56/319, 1016/5017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/319, 1016/5017 quickly i.e. 7112/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/319, 1016/5017 is 7112/29.

LCM(56/319, 1016/5017) = 7112/29

LCM of 56/319, 1016/5017

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 56/319,1016/5017

Given numbers are 56/319,1016/5017

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 56,1016

Least Common Multiple of Numerators i.e. LCM of 56,1016 is 7112.

GCF of Denominators means GCF of 319,5017 as per the given fractions.

GCF of 319,5017 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,1016

LCM of Fractions 56/319,1016/5017 is 7112/29

2 56, 1016
2 28, 508
2 14, 254
7, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 127 = 7112

Least Common Multiple of 56,1016 with GCF Formula

Least Common Multiple of 56,1016 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 56,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,1016) = 8

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

GCF(56,1016) x common factors =8 x 1 = 8

LCM(56,1016) = ( 56 × 1016 ) / 8

LCM(56,1016) = 56896 / 8

LCM(56,1016) = 7112


Lets's calculate GCF of 319,5017

29 319, 5017
11, 173

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7112/29

Therefore the LCM of Fractions 56/319,1016/5017 is 7112/29

Greatest Common Factor of 319,5017 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,5017 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1,29,173,5017

Greatest Common Factor

We found the factors 319,5017 . The biggest common factor number is the GCF number.
So the greatest common factor 319,5017 is 29.


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 56/319, 1016/5017

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 56/319, 1016/5017?

Answer: LCM of Numerators as per given numbers 56/319, 1016/5017 is

LCM of Numerators i.e. for 56,1016 is 7112

GCF of denominators i.e. for 319,5017 is 29.

Thus, LCM of Fractions is 7112/29.Finally, LCM of Fractions for 56/319, 1016/5017 is 7112/29.