Least Common Multiple of 967/83, 355/82, 930/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/83, 355/82, 930/180 quickly i.e. 63851010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/83, 355/82, 930/180 is 63851010.

LCM(967/83, 355/82, 930/180) = 63851010

LCM of 967/83, 355/82, 930/180

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 967/83,355/82,930/180

Given numbers are 967/83,355/82,930/180

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 967,355,930

Least Common Multiple of Numerators i.e. LCM of 967,355,930 is 63851010.

GCF of Denominators means GCF of 83,82,180 as per the given fractions.

GCF of 83,82,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,355,930

LCM of Fractions 967/83,355/82,930/180 is 63851010

5 967, 355, 930
967, 71, 186

∴ So the LCM of the given numbers is 5 x 967 x 71 x 186 = 63851010

Least Common Multiple of 967,355,930 with GCF Formula

Least Common Multiple of 967,355,930 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 967,355,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,355,930) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(967,355,930) x common factors =1 x 5 = 5

LCM(967,355,930) = ( 967 × 355 × 930 ) / 5

LCM(967,355,930) = 319255050 / 5

LCM(967,355,930) = 63851010


Lets's calculate GCF of 83,82,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63851010/1

Therefore the LCM of Fractions 967/83,355/82,930/180 is 63851010

Greatest Common Factor of 83,82,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,82,180 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 83,82,180 . The biggest common factor number is the GCF number.
So the greatest common factor 83,82,180 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 967/83, 355/82, 930/180

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 967/83, 355/82, 930/180?

Answer: LCM of Numerators as per given numbers 967/83, 355/82, 930/180 is

LCM of Numerators i.e. for 967,355,930 is 63851010

GCF of denominators i.e. for 83,82,180 is 1.

Thus, LCM of Fractions is 63851010.Finally, LCM of Fractions for 967/83, 355/82, 930/180 is 63851010.