Least Common Multiple of 867/305, 575/689, 766/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/305, 575/689, 766/372 quickly i.e. 381870150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/305, 575/689, 766/372 is 381870150.

LCM(867/305, 575/689, 766/372) = 381870150

LCM of 867/305, 575/689, 766/372

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 867/305,575/689,766/372

Given numbers are 867/305,575/689,766/372

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 867,575,766

Least Common Multiple of Numerators i.e. LCM of 867,575,766 is 381870150.

GCF of Denominators means GCF of 305,689,372 as per the given fractions.

GCF of 305,689,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,575,766

LCM of Fractions 867/305,575/689,766/372 is 381870150

Given numbers has no common factors except 1. So, there LCM is their product i.e 381870150

Least Common Multiple of 867,575,766 with GCF Formula

Least Common Multiple of 867,575,766 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 867,575,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,575,766) = 1

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

GCF(867,575,766) x common factors =1 x 1 = 1

LCM(867,575,766) = ( 867 × 575 × 766 ) / 1

LCM(867,575,766) = 381870150 / 1

LCM(867,575,766) = 381870150


Lets's calculate GCF of 305,689,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381870150/1

Therefore the LCM of Fractions 867/305,575/689,766/372 is 381870150

Greatest Common Factor of 305,689,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,689,372 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 305,689,372 . The biggest common factor number is the GCF number.
So the greatest common factor 305,689,372 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 867/305, 575/689, 766/372

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 867/305, 575/689, 766/372?

Answer: LCM of Numerators as per given numbers 867/305, 575/689, 766/372 is

LCM of Numerators i.e. for 867,575,766 is 381870150

GCF of denominators i.e. for 305,689,372 is 1.

Thus, LCM of Fractions is 381870150.Finally, LCM of Fractions for 867/305, 575/689, 766/372 is 381870150.