Least Common Multiple of 20/56, 70/306, 752/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/56, 70/306, 752/675 quickly i.e. 26320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/56, 70/306, 752/675 is 26320.

LCM(20/56, 70/306, 752/675) = 26320

LCM of 20/56, 70/306, 752/675

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 20/56,70/306,752/675

Given numbers are 20/56,70/306,752/675

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 20,70,752

Least Common Multiple of Numerators i.e. LCM of 20,70,752 is 26320.

GCF of Denominators means GCF of 56,306,675 as per the given fractions.

GCF of 56,306,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,70,752

LCM of Fractions 20/56,70/306,752/675 is 26320

2 20, 70, 752
2 10, 35, 376
5 5, 35, 188
1, 7, 188

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 7 x 188 = 26320

Least Common Multiple of 20,70,752 with GCF Formula

Least Common Multiple of 20,70,752 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 20,70,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,70,752) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(20,70,752) x common factors =2 x 20 = 40

LCM(20,70,752) = ( 20 × 70 × 752 ) / 40

LCM(20,70,752) = 1052800 / 40

LCM(20,70,752) = 26320


Lets's calculate GCF of 56,306,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26320/1

Therefore the LCM of Fractions 20/56,70/306,752/675 is 26320

Greatest Common Factor of 56,306,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,306,675 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 56,306,675 . The biggest common factor number is the GCF number.
So the greatest common factor 56,306,675 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 20/56, 70/306, 752/675

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 20/56, 70/306, 752/675?

Answer: LCM of Numerators as per given numbers 20/56, 70/306, 752/675 is

LCM of Numerators i.e. for 20,70,752 is 26320

GCF of denominators i.e. for 56,306,675 is 1.

Thus, LCM of Fractions is 26320.Finally, LCM of Fractions for 20/56, 70/306, 752/675 is 26320.