Least Common Multiple of 56/152, 250/283, 750/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/152, 250/283, 750/968 quickly i.e. 21000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/152, 250/283, 750/968 is 21000.

LCM(56/152, 250/283, 750/968) = 21000

LCM of 56/152, 250/283, 750/968

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 56/152,250/283,750/968

Given numbers are 56/152,250/283,750/968

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 56,250,750

Least Common Multiple of Numerators i.e. LCM of 56,250,750 is 21000.

GCF of Denominators means GCF of 152,283,968 as per the given fractions.

GCF of 152,283,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,250,750

LCM of Fractions 56/152,250/283,750/968 is 21000

2 56, 250, 750
5 28, 125, 375
5 28, 25, 75
5 28, 5, 15
28, 1, 3

∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 28 x 1 x 3 = 21000

Least Common Multiple of 56,250,750 with GCF Formula

Least Common Multiple of 56,250,750 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 56,250,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,250,750) = 2

common factors(in case of two or more numbers have common factors) = 250

GCF(56,250,750) x common factors =2 x 250 = 500

LCM(56,250,750) = ( 56 × 250 × 750 ) / 500

LCM(56,250,750) = 10500000 / 500

LCM(56,250,750) = 21000


Lets's calculate GCF of 152,283,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21000/1

Therefore the LCM of Fractions 56/152,250/283,750/968 is 21000

Greatest Common Factor of 152,283,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,283,968 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 152,283,968 . The biggest common factor number is the GCF number.
So the greatest common factor 152,283,968 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 56/152, 250/283, 750/968

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 56/152, 250/283, 750/968?

Answer: LCM of Numerators as per given numbers 56/152, 250/283, 750/968 is

LCM of Numerators i.e. for 56,250,750 is 21000

GCF of denominators i.e. for 152,283,968 is 1.

Thus, LCM of Fractions is 21000.Finally, LCM of Fractions for 56/152, 250/283, 750/968 is 21000.