Least Common Multiple of 756/970, 1500/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/970, 1500/362 quickly i.e. 47250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/970, 1500/362 is 47250.

LCM(756/970, 1500/362) = 47250

LCM of 756/970, 1500/362

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 756/970,1500/362

Given numbers are 756/970,1500/362

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 756,1500

Least Common Multiple of Numerators i.e. LCM of 756,1500 is 94500.

GCF of Denominators means GCF of 970,362 as per the given fractions.

GCF of 970,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,1500

LCM of Fractions 756/970,1500/362 is 47250

2 756, 1500
2 378, 750
3 189, 375
63, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 63 x 125 = 94500

Least Common Multiple of 756,1500 with GCF Formula

Least Common Multiple of 756,1500 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 756,1500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,1500) = 12

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

GCF(756,1500) x common factors =12 x 1 = 12

LCM(756,1500) = ( 756 × 1500 ) / 12

LCM(756,1500) = 1134000 / 12

LCM(756,1500) = 94500


Lets's calculate GCF of 970,362

2 970, 362
485, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94500/2

Therefore the LCM of Fractions 756/970,1500/362 is 47250

Greatest Common Factor of 970,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,362 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 970,362 . The biggest common factor number is the GCF number.
So the greatest common factor 970,362 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 756/970, 1500/362

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 756/970, 1500/362?

Answer: LCM of Numerators as per given numbers 756/970, 1500/362 is

LCM of Numerators i.e. for 756,1500 is 94500

GCF of denominators i.e. for 970,362 is 2.

Thus, LCM of Fractions is 47250.Finally, LCM of Fractions for 756/970, 1500/362 is 47250.