Least Common Multiple of 756/25, 436/50, 316/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 756/25, 436/50, 316/511 quickly i.e. 6509916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/25, 436/50, 316/511 is 6509916.

LCM(756/25, 436/50, 316/511) = 6509916

LCM of 756/25, 436/50, 316/511

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 756/25,436/50,316/511

Given numbers are 756/25,436/50,316/511

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 756,436,316

Least Common Multiple of Numerators i.e. LCM of 756,436,316 is 6509916.

GCF of Denominators means GCF of 25,50,511 as per the given fractions.

GCF of 25,50,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,436,316

LCM of Fractions 756/25,436/50,316/511 is 6509916

2 756, 436, 316
2 378, 218, 158
189, 109, 79

∴ So the LCM of the given numbers is 2 x 2 x 189 x 109 x 79 = 6509916

Least Common Multiple of 756,436,316 with GCF Formula

Least Common Multiple of 756,436,316 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 756,436,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,436,316) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(756,436,316) x common factors =4 x 4 = 16

LCM(756,436,316) = ( 756 × 436 × 316 ) / 16

LCM(756,436,316) = 104158656 / 16

LCM(756,436,316) = 6509916


Lets's calculate GCF of 25,50,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6509916/1

Therefore the LCM of Fractions 756/25,436/50,316/511 is 6509916

Greatest Common Factor of 25,50,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,50,511 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 25,50,511 . The biggest common factor number is the GCF number.
So the greatest common factor 25,50,511 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 756/25, 436/50, 316/511

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 756/25, 436/50, 316/511?

Answer: LCM of Numerators as per given numbers 756/25, 436/50, 316/511 is

LCM of Numerators i.e. for 756,436,316 is 6509916

GCF of denominators i.e. for 25,50,511 is 1.

Thus, LCM of Fractions is 6509916.Finally, LCM of Fractions for 756/25, 436/50, 316/511 is 6509916.