Least Common Multiple of 542/61, 786/10, 666/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/61, 786/10, 666/682 quickly i.e. 23643666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/61, 786/10, 666/682 is 23643666.

LCM(542/61, 786/10, 666/682) = 23643666

LCM of 542/61, 786/10, 666/682

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 542/61,786/10,666/682

Given numbers are 542/61,786/10,666/682

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 542,786,666

Least Common Multiple of Numerators i.e. LCM of 542,786,666 is 23643666.

GCF of Denominators means GCF of 61,10,682 as per the given fractions.

GCF of 61,10,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,786,666

LCM of Fractions 542/61,786/10,666/682 is 23643666

2 542, 786, 666
3 271, 393, 333
271, 131, 111

∴ So the LCM of the given numbers is 2 x 3 x 271 x 131 x 111 = 23643666

Least Common Multiple of 542,786,666 with GCF Formula

Least Common Multiple of 542,786,666 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 542,786,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,786,666) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(542,786,666) x common factors =2 x 6 = 12

LCM(542,786,666) = ( 542 × 786 × 666 ) / 12

LCM(542,786,666) = 283723992 / 12

LCM(542,786,666) = 23643666


Lets's calculate GCF of 61,10,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23643666/1

Therefore the LCM of Fractions 542/61,786/10,666/682 is 23643666

Greatest Common Factor of 61,10,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,10,682 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 61,10,682 . The biggest common factor number is the GCF number.
So the greatest common factor 61,10,682 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 542/61, 786/10, 666/682

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 542/61, 786/10, 666/682?

Answer: LCM of Numerators as per given numbers 542/61, 786/10, 666/682 is

LCM of Numerators i.e. for 542,786,666 is 23643666

GCF of denominators i.e. for 61,10,682 is 1.

Thus, LCM of Fractions is 23643666.Finally, LCM of Fractions for 542/61, 786/10, 666/682 is 23643666.