Least Common Multiple of 142/20, 859/6852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/20, 859/6852 quickly i.e. 121978/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/20, 859/6852 is 121978/4.

LCM(142/20, 859/6852) = 121978/4

LCM of 142/20, 859/6852

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 142/20,859/6852

Given numbers are 142/20,859/6852

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 142,859

Least Common Multiple of Numerators i.e. LCM of 142,859 is 121978.

GCF of Denominators means GCF of 20,6852 as per the given fractions.

GCF of 20,6852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,859

LCM of Fractions 142/20,859/6852 is 121978/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 121978

Least Common Multiple of 142,859 with GCF Formula

Least Common Multiple of 142,859 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 142,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,859) = 1

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

GCF(142,859) x common factors =1 x 1 = 1

LCM(142,859) = ( 142 × 859 ) / 1

LCM(142,859) = 121978 / 1

LCM(142,859) = 121978


Lets's calculate GCF of 20,6852

2 20, 6852
2 10, 3426
5, 1713

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121978/4

Therefore the LCM of Fractions 142/20,859/6852 is 121978/4

Greatest Common Factor of 20,6852 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,6852 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Greatest Common Factor

We found the factors 20,6852 . The biggest common factor number is the GCF number.
So the greatest common factor 20,6852 is 4.


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 142/20, 859/6852

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 142/20, 859/6852?

Answer: LCM of Numerators as per given numbers 142/20, 859/6852 is

LCM of Numerators i.e. for 142,859 is 121978

GCF of denominators i.e. for 20,6852 is 4.

Thus, LCM of Fractions is 121978/4.Finally, LCM of Fractions for 142/20, 859/6852 is 121978/4.