Least Common Multiple of 767/338, 878/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/338, 878/536 quickly i.e. 336713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/338, 878/536 is 336713.

LCM(767/338, 878/536) = 336713

LCM of 767/338, 878/536

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 767/338,878/536

Given numbers are 767/338,878/536

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 767,878

Least Common Multiple of Numerators i.e. LCM of 767,878 is 673426.

GCF of Denominators means GCF of 338,536 as per the given fractions.

GCF of 338,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,878

LCM of Fractions 767/338,878/536 is 336713

Given numbers has no common factors except 1. So, there LCM is their product i.e 673426

Least Common Multiple of 767,878 with GCF Formula

Least Common Multiple of 767,878 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 767,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,878) = 1

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

GCF(767,878) x common factors =1 x 1 = 1

LCM(767,878) = ( 767 × 878 ) / 1

LCM(767,878) = 673426 / 1

LCM(767,878) = 673426


Lets's calculate GCF of 338,536

2 338, 536
169, 268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 673426/2

Therefore the LCM of Fractions 767/338,878/536 is 336713

Greatest Common Factor of 338,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,536 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 338,536 . The biggest common factor number is the GCF number.
So the greatest common factor 338,536 is 2.


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 767/338, 878/536

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 767/338, 878/536?

Answer: LCM of Numerators as per given numbers 767/338, 878/536 is

LCM of Numerators i.e. for 767,878 is 673426

GCF of denominators i.e. for 338,536 is 2.

Thus, LCM of Fractions is 336713.Finally, LCM of Fractions for 767/338, 878/536 is 336713.