Least Common Multiple of 86/375, 630/34, 180/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/375, 630/34, 180/806 quickly i.e. 54180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/375, 630/34, 180/806 is 54180.

LCM(86/375, 630/34, 180/806) = 54180

LCM of 86/375, 630/34, 180/806

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 86/375,630/34,180/806

Given numbers are 86/375,630/34,180/806

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 86,630,180

Least Common Multiple of Numerators i.e. LCM of 86,630,180 is 54180.

GCF of Denominators means GCF of 375,34,806 as per the given fractions.

GCF of 375,34,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,630,180

LCM of Fractions 86/375,630/34,180/806 is 54180

2 86, 630, 180
3 43, 315, 90
3 43, 105, 30
5 43, 35, 10
43, 7, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 43 x 7 x 2 = 54180

Least Common Multiple of 86,630,180 with GCF Formula

Least Common Multiple of 86,630,180 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 86,630,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,630,180) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(86,630,180) x common factors =2 x 90 = 180

LCM(86,630,180) = ( 86 × 630 × 180 ) / 180

LCM(86,630,180) = 9752400 / 180

LCM(86,630,180) = 54180


Lets's calculate GCF of 375,34,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54180/1

Therefore the LCM of Fractions 86/375,630/34,180/806 is 54180

Greatest Common Factor of 375,34,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,34,806 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 375,34,806 . The biggest common factor number is the GCF number.
So the greatest common factor 375,34,806 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 86/375, 630/34, 180/806

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 86/375, 630/34, 180/806?

Answer: LCM of Numerators as per given numbers 86/375, 630/34, 180/806 is

LCM of Numerators i.e. for 86,630,180 is 54180

GCF of denominators i.e. for 375,34,806 is 1.

Thus, LCM of Fractions is 54180.Finally, LCM of Fractions for 86/375, 630/34, 180/806 is 54180.