Least Common Multiple of 956/15, 460/75, 500/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 956/15, 460/75, 500/308 quickly i.e. 2748500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 956/15, 460/75, 500/308 is 2748500.

LCM(956/15, 460/75, 500/308) = 2748500

LCM of 956/15, 460/75, 500/308

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 956/15,460/75,500/308

Given numbers are 956/15,460/75,500/308

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 956,460,500

Least Common Multiple of Numerators i.e. LCM of 956,460,500 is 2748500.

GCF of Denominators means GCF of 15,75,308 as per the given fractions.

GCF of 15,75,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 956,460,500

LCM of Fractions 956/15,460/75,500/308 is 2748500

2 956, 460, 500
2 478, 230, 250
5 239, 115, 125
239, 23, 25

∴ So the LCM of the given numbers is 2 x 2 x 5 x 239 x 23 x 25 = 2748500

Least Common Multiple of 956,460,500 with GCF Formula

Least Common Multiple of 956,460,500 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 956,460,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,460,500) = 4

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

GCF(956,460,500) x common factors =4 x 20 = 80

LCM(956,460,500) = ( 956 × 460 × 500 ) / 80

LCM(956,460,500) = 219880000 / 80

LCM(956,460,500) = 2748500


Lets's calculate GCF of 15,75,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2748500/1

Therefore the LCM of Fractions 956/15,460/75,500/308 is 2748500

Greatest Common Factor of 15,75,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,75,308 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 15,75,308 . The biggest common factor number is the GCF number.
So the greatest common factor 15,75,308 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 956/15, 460/75, 500/308

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 956/15, 460/75, 500/308?

Answer: LCM of Numerators as per given numbers 956/15, 460/75, 500/308 is

LCM of Numerators i.e. for 956,460,500 is 2748500

GCF of denominators i.e. for 15,75,308 is 1.

Thus, LCM of Fractions is 2748500.Finally, LCM of Fractions for 956/15, 460/75, 500/308 is 2748500.