Least Common Multiple of 7/810, 35/126, 12/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/810, 35/126, 12/591 quickly i.e. 140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/810, 35/126, 12/591 is 140.

LCM(7/810, 35/126, 12/591) = 140

LCM of 7/810, 35/126, 12/591

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 7/810,35/126,12/591

Given numbers are 7/810,35/126,12/591

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 7,35,12

Least Common Multiple of Numerators i.e. LCM of 7,35,12 is 420.

GCF of Denominators means GCF of 810,126,591 as per the given fractions.

GCF of 810,126,591 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,35,12

LCM of Fractions 7/810,35/126,12/591 is 140

7 7, 35, 12
1, 5, 12

∴ So the LCM of the given numbers is 7 x 1 x 5 x 12 = 420

Least Common Multiple of 7,35,12 with GCF Formula

Least Common Multiple of 7,35,12 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 7,35,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,35,12) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(7,35,12) x common factors =1 x 7 = 7

LCM(7,35,12) = ( 7 × 35 × 12 ) / 7

LCM(7,35,12) = 2940 / 7

LCM(7,35,12) = 420


Lets's calculate GCF of 810,126,591

3 810, 126, 591
270, 42, 197

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/3

Therefore the LCM of Fractions 7/810,35/126,12/591 is 140

Greatest Common Factor of 810,126,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,126,591 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 810,126,591 . The biggest common factor number is the GCF number.
So the greatest common factor 810,126,591 is 3.


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 7/810, 35/126, 12/591

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 7/810, 35/126, 12/591?

Answer: LCM of Numerators as per given numbers 7/810, 35/126, 12/591 is

LCM of Numerators i.e. for 7,35,12 is 420

GCF of denominators i.e. for 810,126,591 is 3.

Thus, LCM of Fractions is 140.Finally, LCM of Fractions for 7/810, 35/126, 12/591 is 140.