Least Common Multiple of 766/304, 816/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/304, 816/135 quickly i.e. 312528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/304, 816/135 is 312528.

LCM(766/304, 816/135) = 312528

LCM of 766/304, 816/135

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 766/304,816/135

Given numbers are 766/304,816/135

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 766,816

Least Common Multiple of Numerators i.e. LCM of 766,816 is 312528.

GCF of Denominators means GCF of 304,135 as per the given fractions.

GCF of 304,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,816

LCM of Fractions 766/304,816/135 is 312528

2 766, 816
383, 408

∴ So the LCM of the given numbers is 2 x 383 x 408 = 312528

Least Common Multiple of 766,816 with GCF Formula

Least Common Multiple of 766,816 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 766,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,816) = 2

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

GCF(766,816) x common factors =2 x 1 = 2

LCM(766,816) = ( 766 × 816 ) / 2

LCM(766,816) = 625056 / 2

LCM(766,816) = 312528


Lets's calculate GCF of 304,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312528/1

Therefore the LCM of Fractions 766/304,816/135 is 312528

Greatest Common Factor of 304,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,135 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 304,135 . The biggest common factor number is the GCF number.
So the greatest common factor 304,135 is 1.


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 766/304, 816/135

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 766/304, 816/135?

Answer: LCM of Numerators as per given numbers 766/304, 816/135 is

LCM of Numerators i.e. for 766,816 is 312528

GCF of denominators i.e. for 304,135 is 1.

Thus, LCM of Fractions is 312528.Finally, LCM of Fractions for 766/304, 816/135 is 312528.