Least Common Multiple of 851/42, 344/9742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 851/42, 344/9742 quickly i.e. 146372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 851/42, 344/9742 is 146372.

LCM(851/42, 344/9742) = 146372

LCM of 851/42, 344/9742

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 851/42,344/9742

Given numbers are 851/42,344/9742

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 851,344

Least Common Multiple of Numerators i.e. LCM of 851,344 is 292744.

GCF of Denominators means GCF of 42,9742 as per the given fractions.

GCF of 42,9742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 851,344

LCM of Fractions 851/42,344/9742 is 146372

Given numbers has no common factors except 1. So, there LCM is their product i.e 292744

Least Common Multiple of 851,344 with GCF Formula

Least Common Multiple of 851,344 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 851,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,344) = 1

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

GCF(851,344) x common factors =1 x 1 = 1

LCM(851,344) = ( 851 × 344 ) / 1

LCM(851,344) = 292744 / 1

LCM(851,344) = 292744


Lets's calculate GCF of 42,9742

2 42, 9742
21, 4871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292744/2

Therefore the LCM of Fractions 851/42,344/9742 is 146372

Greatest Common Factor of 42,9742 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,9742 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1,2,4871,9742

Greatest Common Factor

We found the factors 42,9742 . The biggest common factor number is the GCF number.
So the greatest common factor 42,9742 is 2.


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 851/42, 344/9742

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 851/42, 344/9742?

Answer: LCM of Numerators as per given numbers 851/42, 344/9742 is

LCM of Numerators i.e. for 851,344 is 292744

GCF of denominators i.e. for 42,9742 is 2.

Thus, LCM of Fractions is 146372.Finally, LCM of Fractions for 851/42, 344/9742 is 146372.