Least Common Multiple of 867/36, 389/76, 361/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/36, 389/76, 361/769 quickly i.e. 121751943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/36, 389/76, 361/769 is 121751943.

LCM(867/36, 389/76, 361/769) = 121751943

LCM of 867/36, 389/76, 361/769

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 867/36,389/76,361/769

Given numbers are 867/36,389/76,361/769

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 867,389,361

Least Common Multiple of Numerators i.e. LCM of 867,389,361 is 121751943.

GCF of Denominators means GCF of 36,76,769 as per the given fractions.

GCF of 36,76,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,389,361

LCM of Fractions 867/36,389/76,361/769 is 121751943

Given numbers has no common factors except 1. So, there LCM is their product i.e 121751943

Least Common Multiple of 867,389,361 with GCF Formula

Least Common Multiple of 867,389,361 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 867,389,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,389,361) = 1

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

GCF(867,389,361) x common factors =1 x 1 = 1

LCM(867,389,361) = ( 867 × 389 × 361 ) / 1

LCM(867,389,361) = 121751943 / 1

LCM(867,389,361) = 121751943


Lets's calculate GCF of 36,76,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121751943/1

Therefore the LCM of Fractions 867/36,389/76,361/769 is 121751943

Greatest Common Factor of 36,76,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,76,769 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 36,76,769 . The biggest common factor number is the GCF number.
So the greatest common factor 36,76,769 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 867/36, 389/76, 361/769

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 867/36, 389/76, 361/769?

Answer: LCM of Numerators as per given numbers 867/36, 389/76, 361/769 is

LCM of Numerators i.e. for 867,389,361 is 121751943

GCF of denominators i.e. for 36,76,769 is 1.

Thus, LCM of Fractions is 121751943.Finally, LCM of Fractions for 867/36, 389/76, 361/769 is 121751943.