Least Common Multiple of 1207/756, 9027/5726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1207/756, 9027/5726 quickly i.e. 640917/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1207/756, 9027/5726 is 640917/14.

LCM(1207/756, 9027/5726) = 640917/14

LCM of 1207/756, 9027/5726

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 1207/756,9027/5726

Given numbers are 1207/756,9027/5726

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 1207,9027

Least Common Multiple of Numerators i.e. LCM of 1207,9027 is 640917.

GCF of Denominators means GCF of 756,5726 as per the given fractions.

GCF of 756,5726 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1207,9027

LCM of Fractions 1207/756,9027/5726 is 640917/14

17 1207, 9027
71, 531

∴ So the LCM of the given numbers is 17 x 71 x 531 = 640917

Least Common Multiple of 1207,9027 with GCF Formula

Least Common Multiple of 1207,9027 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 1207,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1207,9027) = 17

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

GCF(1207,9027) x common factors =17 x 1 = 17

LCM(1207,9027) = ( 1207 × 9027 ) / 17

LCM(1207,9027) = 10895589 / 17

LCM(1207,9027) = 640917


Lets's calculate GCF of 756,5726

2 756, 5726
7 378, 2863
54, 409

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640917/14

Therefore the LCM of Fractions 1207/756,9027/5726 is 640917/14

Greatest Common Factor of 756,5726 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,5726 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1,2,7,14,409,818,2863,5726

Greatest Common Factor

We found the factors 756,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 756,5726 is 14.


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 1207/756, 9027/5726

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 1207/756, 9027/5726?

Answer: LCM of Numerators as per given numbers 1207/756, 9027/5726 is

LCM of Numerators i.e. for 1207,9027 is 640917

GCF of denominators i.e. for 756,5726 is 14.

Thus, LCM of Fractions is 640917/14.Finally, LCM of Fractions for 1207/756, 9027/5726 is 640917/14.