Least Common Multiple of 5064/766, 9064/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5064/766, 9064/766 quickly i.e. 5737512/766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5064/766, 9064/766 is 5737512/766.

LCM(5064/766, 9064/766) = 5737512/766

LCM of 5064/766, 9064/766

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 5064/766,9064/766

Given numbers are 5064/766,9064/766

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 5064,9064

Least Common Multiple of Numerators i.e. LCM of 5064,9064 is 5737512.

GCF of Denominators means GCF of 766,766 as per the given fractions.

GCF of 766,766 is 766 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5064,9064

LCM of Fractions 5064/766,9064/766 is 5737512/766

2 5064, 9064
2 2532, 4532
2 1266, 2266
633, 1133

∴ So the LCM of the given numbers is 2 x 2 x 2 x 633 x 1133 = 5737512

Least Common Multiple of 5064,9064 with GCF Formula

Least Common Multiple of 5064,9064 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 5064,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5064,9064) = 8

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

GCF(5064,9064) x common factors =8 x 1 = 8

LCM(5064,9064) = ( 5064 × 9064 ) / 8

LCM(5064,9064) = 45900096 / 8

LCM(5064,9064) = 5737512


Lets's calculate GCF of 766,766

2 766, 766
383 383, 383
1, 1

∴ So the GCF of the given numbers is 2 x 383 = 766

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5737512/766

Therefore the LCM of Fractions 5064/766,9064/766 is 5737512/766

Greatest Common Factor of 766,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,766 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 766,766 . The biggest common factor number is the GCF number.
So the greatest common factor 766,766 is 766.


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 5064/766, 9064/766

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 5064/766, 9064/766?

Answer: LCM of Numerators as per given numbers 5064/766, 9064/766 is

LCM of Numerators i.e. for 5064,9064 is 5737512

GCF of denominators i.e. for 766,766 is 766.

Thus, LCM of Fractions is 5737512/766.Finally, LCM of Fractions for 5064/766, 9064/766 is 5737512/766.