Least Common Multiple of 426/987, 342/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/987, 342/345 quickly i.e. 8094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/987, 342/345 is 8094.

LCM(426/987, 342/345) = 8094

LCM of 426/987, 342/345

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 426/987,342/345

Given numbers are 426/987,342/345

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 426,342

Least Common Multiple of Numerators i.e. LCM of 426,342 is 24282.

GCF of Denominators means GCF of 987,345 as per the given fractions.

GCF of 987,345 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,342

LCM of Fractions 426/987,342/345 is 8094

2 426, 342
3 213, 171
71, 57

∴ So the LCM of the given numbers is 2 x 3 x 71 x 57 = 24282

Least Common Multiple of 426,342 with GCF Formula

Least Common Multiple of 426,342 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 426,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,342) = 6

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

GCF(426,342) x common factors =6 x 1 = 6

LCM(426,342) = ( 426 × 342 ) / 6

LCM(426,342) = 145692 / 6

LCM(426,342) = 24282


Lets's calculate GCF of 987,345

3 987, 345
329, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24282/3

Therefore the LCM of Fractions 426/987,342/345 is 8094

Greatest Common Factor of 987,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,345 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 987,345 . The biggest common factor number is the GCF number.
So the greatest common factor 987,345 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 426/987, 342/345

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 426/987, 342/345?

Answer: LCM of Numerators as per given numbers 426/987, 342/345 is

LCM of Numerators i.e. for 426,342 is 24282

GCF of denominators i.e. for 987,345 is 3.

Thus, LCM of Fractions is 8094.Finally, LCM of Fractions for 426/987, 342/345 is 8094.