Least Common Multiple of 763/44, 756/6304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/44, 756/6304 quickly i.e. 20601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/44, 756/6304 is 20601.

LCM(763/44, 756/6304) = 20601

LCM of 763/44, 756/6304

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 763/44,756/6304

Given numbers are 763/44,756/6304

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 763,756

Least Common Multiple of Numerators i.e. LCM of 763,756 is 82404.

GCF of Denominators means GCF of 44,6304 as per the given fractions.

GCF of 44,6304 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,756

LCM of Fractions 763/44,756/6304 is 20601

7 763, 756
109, 108

∴ So the LCM of the given numbers is 7 x 109 x 108 = 82404

Least Common Multiple of 763,756 with GCF Formula

Least Common Multiple of 763,756 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 763,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,756) = 7

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

GCF(763,756) x common factors =7 x 1 = 7

LCM(763,756) = ( 763 × 756 ) / 7

LCM(763,756) = 576828 / 7

LCM(763,756) = 82404


Lets's calculate GCF of 44,6304

2 44, 6304
2 22, 3152
11, 1576

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82404/4

Therefore the LCM of Fractions 763/44,756/6304 is 20601

Greatest Common Factor of 44,6304 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,6304 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Greatest Common Factor

We found the factors 44,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6304 is 4.


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 763/44, 756/6304

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 763/44, 756/6304?

Answer: LCM of Numerators as per given numbers 763/44, 756/6304 is

LCM of Numerators i.e. for 763,756 is 82404

GCF of denominators i.e. for 44,6304 is 4.

Thus, LCM of Fractions is 20601.Finally, LCM of Fractions for 763/44, 756/6304 is 20601.