Least Common Multiple of 56/750, 4299/2014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/750, 4299/2014 quickly i.e. 120372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/750, 4299/2014 is 120372.

LCM(56/750, 4299/2014) = 120372

LCM of 56/750, 4299/2014

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 56/750,4299/2014

Given numbers are 56/750,4299/2014

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 56,4299

Least Common Multiple of Numerators i.e. LCM of 56,4299 is 240744.

GCF of Denominators means GCF of 750,2014 as per the given fractions.

GCF of 750,2014 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,4299

LCM of Fractions 56/750,4299/2014 is 120372

Given numbers has no common factors except 1. So, there LCM is their product i.e 240744

Least Common Multiple of 56,4299 with GCF Formula

Least Common Multiple of 56,4299 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 56,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,4299) = 1

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

GCF(56,4299) x common factors =1 x 1 = 1

LCM(56,4299) = ( 56 × 4299 ) / 1

LCM(56,4299) = 240744 / 1

LCM(56,4299) = 240744


Lets's calculate GCF of 750,2014

2 750, 2014
375, 1007

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240744/2

Therefore the LCM of Fractions 56/750,4299/2014 is 120372

Greatest Common Factor of 750,2014 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,2014 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 2014

List of positive integer factors of 2014 that divides 2014 without a remainder.

1,2,19,38,53,106,1007,2014

Greatest Common Factor

We found the factors 750,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 750,2014 is 2.


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 56/750, 4299/2014

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 56/750, 4299/2014?

Answer: LCM of Numerators as per given numbers 56/750, 4299/2014 is

LCM of Numerators i.e. for 56,4299 is 240744

GCF of denominators i.e. for 750,2014 is 2.

Thus, LCM of Fractions is 120372.Finally, LCM of Fractions for 56/750, 4299/2014 is 120372.