Least Common Multiple of 756/726, 5204/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/726, 5204/187 quickly i.e. 983556/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/726, 5204/187 is 983556/11.

LCM(756/726, 5204/187) = 983556/11

LCM of 756/726, 5204/187

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 756/726,5204/187

Given numbers are 756/726,5204/187

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 756,5204

Least Common Multiple of Numerators i.e. LCM of 756,5204 is 983556.

GCF of Denominators means GCF of 726,187 as per the given fractions.

GCF of 726,187 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,5204

LCM of Fractions 756/726,5204/187 is 983556/11

2 756, 5204
2 378, 2602
189, 1301

∴ So the LCM of the given numbers is 2 x 2 x 189 x 1301 = 983556

Least Common Multiple of 756,5204 with GCF Formula

Least Common Multiple of 756,5204 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 756,5204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,5204) = 4

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

GCF(756,5204) x common factors =4 x 1 = 4

LCM(756,5204) = ( 756 × 5204 ) / 4

LCM(756,5204) = 3934224 / 4

LCM(756,5204) = 983556


Lets's calculate GCF of 726,187

11 726, 187
66, 17

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 983556/11

Therefore the LCM of Fractions 756/726,5204/187 is 983556/11

Greatest Common Factor of 726,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,187 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 726,187 . The biggest common factor number is the GCF number.
So the greatest common factor 726,187 is 11.


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 756/726, 5204/187

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 756/726, 5204/187?

Answer: LCM of Numerators as per given numbers 756/726, 5204/187 is

LCM of Numerators i.e. for 756,5204 is 983556

GCF of denominators i.e. for 726,187 is 11.

Thus, LCM of Fractions is 983556/11.Finally, LCM of Fractions for 756/726, 5204/187 is 983556/11.