Least Common Multiple of 756/803, 1629/7912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 756/803, 1629/7912 quickly i.e. 136836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/803, 1629/7912 is 136836.

LCM(756/803, 1629/7912) = 136836

LCM of 756/803, 1629/7912

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 756/803,1629/7912

Given numbers are 756/803,1629/7912

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 756,1629

Least Common Multiple of Numerators i.e. LCM of 756,1629 is 136836.

GCF of Denominators means GCF of 803,7912 as per the given fractions.

GCF of 803,7912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,1629

LCM of Fractions 756/803,1629/7912 is 136836

3 756, 1629
3 252, 543
84, 181

∴ So the LCM of the given numbers is 3 x 3 x 84 x 181 = 136836

Least Common Multiple of 756,1629 with GCF Formula

Least Common Multiple of 756,1629 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 756,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,1629) = 9

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

GCF(756,1629) x common factors =9 x 1 = 9

LCM(756,1629) = ( 756 × 1629 ) / 9

LCM(756,1629) = 1231524 / 9

LCM(756,1629) = 136836


Lets's calculate GCF of 803,7912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136836/1

Therefore the LCM of Fractions 756/803,1629/7912 is 136836

Greatest Common Factor of 803,7912 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,7912 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 7912

List of positive integer factors of 7912 that divides 7912 without a remainder.

1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912

Greatest Common Factor

We found the factors 803,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 803,7912 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 756/803, 1629/7912

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 756/803, 1629/7912?

Answer: LCM of Numerators as per given numbers 756/803, 1629/7912 is

LCM of Numerators i.e. for 756,1629 is 136836

GCF of denominators i.e. for 803,7912 is 1.

Thus, LCM of Fractions is 136836.Finally, LCM of Fractions for 756/803, 1629/7912 is 136836.