Least Common Multiple of 150/22, 756/2710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/22, 756/2710 quickly i.e. 9450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/22, 756/2710 is 9450.

LCM(150/22, 756/2710) = 9450

LCM of 150/22, 756/2710

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 150/22,756/2710

Given numbers are 150/22,756/2710

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 150,756

Least Common Multiple of Numerators i.e. LCM of 150,756 is 18900.

GCF of Denominators means GCF of 22,2710 as per the given fractions.

GCF of 22,2710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,756

LCM of Fractions 150/22,756/2710 is 9450

2 150, 756
3 75, 378
25, 126

∴ So the LCM of the given numbers is 2 x 3 x 25 x 126 = 18900

Least Common Multiple of 150,756 with GCF Formula

Least Common Multiple of 150,756 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 150,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,756) = 6

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

GCF(150,756) x common factors =6 x 1 = 6

LCM(150,756) = ( 150 × 756 ) / 6

LCM(150,756) = 113400 / 6

LCM(150,756) = 18900


Lets's calculate GCF of 22,2710

2 22, 2710
11, 1355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18900/2

Therefore the LCM of Fractions 150/22,756/2710 is 9450

Greatest Common Factor of 22,2710 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,2710 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1,2,5,10,271,542,1355,2710

Greatest Common Factor

We found the factors 22,2710 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2710 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 150/22, 756/2710

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 150/22, 756/2710?

Answer: LCM of Numerators as per given numbers 150/22, 756/2710 is

LCM of Numerators i.e. for 150,756 is 18900

GCF of denominators i.e. for 22,2710 is 2.

Thus, LCM of Fractions is 9450.Finally, LCM of Fractions for 150/22, 756/2710 is 9450.