Least Common Multiple of 566/85, 142/6970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/85, 142/6970 quickly i.e. 40186/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/85, 142/6970 is 40186/85.

LCM(566/85, 142/6970) = 40186/85

LCM of 566/85, 142/6970

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 566/85,142/6970

Given numbers are 566/85,142/6970

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 566,142

Least Common Multiple of Numerators i.e. LCM of 566,142 is 40186.

GCF of Denominators means GCF of 85,6970 as per the given fractions.

GCF of 85,6970 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,142

LCM of Fractions 566/85,142/6970 is 40186/85

2 566, 142
283, 71

∴ So the LCM of the given numbers is 2 x 283 x 71 = 40186

Least Common Multiple of 566,142 with GCF Formula

Least Common Multiple of 566,142 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 566,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,142) = 2

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

GCF(566,142) x common factors =2 x 1 = 2

LCM(566,142) = ( 566 × 142 ) / 2

LCM(566,142) = 80372 / 2

LCM(566,142) = 40186


Lets's calculate GCF of 85,6970

5 85, 6970
17 17, 1394
1, 82

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40186/85

Therefore the LCM of Fractions 566/85,142/6970 is 40186/85

Greatest Common Factor of 85,6970 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,6970 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Greatest Common Factor

We found the factors 85,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6970 is 85.


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 566/85, 142/6970

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 566/85, 142/6970?

Answer: LCM of Numerators as per given numbers 566/85, 142/6970 is

LCM of Numerators i.e. for 566,142 is 40186

GCF of denominators i.e. for 85,6970 is 85.

Thus, LCM of Fractions is 40186/85.Finally, LCM of Fractions for 566/85, 142/6970 is 40186/85.