Least Common Multiple of 867/83, 131/96, 670/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/83, 131/96, 670/411 quickly i.e. 76096590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/83, 131/96, 670/411 is 76096590.

LCM(867/83, 131/96, 670/411) = 76096590

LCM of 867/83, 131/96, 670/411

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 867/83,131/96,670/411

Given numbers are 867/83,131/96,670/411

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 867,131,670

Least Common Multiple of Numerators i.e. LCM of 867,131,670 is 76096590.

GCF of Denominators means GCF of 83,96,411 as per the given fractions.

GCF of 83,96,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,131,670

LCM of Fractions 867/83,131/96,670/411 is 76096590

Given numbers has no common factors except 1. So, there LCM is their product i.e 76096590

Least Common Multiple of 867,131,670 with GCF Formula

Least Common Multiple of 867,131,670 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 867,131,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,131,670) = 1

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

GCF(867,131,670) x common factors =1 x 1 = 1

LCM(867,131,670) = ( 867 × 131 × 670 ) / 1

LCM(867,131,670) = 76096590 / 1

LCM(867,131,670) = 76096590


Lets's calculate GCF of 83,96,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76096590/1

Therefore the LCM of Fractions 867/83,131/96,670/411 is 76096590

Greatest Common Factor of 83,96,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,96,411 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 83,96,411 . The biggest common factor number is the GCF number.
So the greatest common factor 83,96,411 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 867/83, 131/96, 670/411

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 867/83, 131/96, 670/411?

Answer: LCM of Numerators as per given numbers 867/83, 131/96, 670/411 is

LCM of Numerators i.e. for 867,131,670 is 76096590

GCF of denominators i.e. for 83,96,411 is 1.

Thus, LCM of Fractions is 76096590.Finally, LCM of Fractions for 867/83, 131/96, 670/411 is 76096590.