Least Common Multiple of 342/14, 930/89, 418/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/14, 930/89, 418/678 quickly i.e. 583110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/14, 930/89, 418/678 is 583110.

LCM(342/14, 930/89, 418/678) = 583110

LCM of 342/14, 930/89, 418/678

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 342/14,930/89,418/678

Given numbers are 342/14,930/89,418/678

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 342,930,418

Least Common Multiple of Numerators i.e. LCM of 342,930,418 is 583110.

GCF of Denominators means GCF of 14,89,678 as per the given fractions.

GCF of 14,89,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,930,418

LCM of Fractions 342/14,930/89,418/678 is 583110

2 342, 930, 418
3 171, 465, 209
19 57, 155, 209
3, 155, 11

∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 155 x 11 = 583110

Least Common Multiple of 342,930,418 with GCF Formula

Least Common Multiple of 342,930,418 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 342,930,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,930,418) = 2

common factors(in case of two or more numbers have common factors) = 114

GCF(342,930,418) x common factors =2 x 114 = 228

LCM(342,930,418) = ( 342 × 930 × 418 ) / 228

LCM(342,930,418) = 132949080 / 228

LCM(342,930,418) = 583110


Lets's calculate GCF of 14,89,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583110/1

Therefore the LCM of Fractions 342/14,930/89,418/678 is 583110

Greatest Common Factor of 14,89,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,89,678 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 14,89,678 . The biggest common factor number is the GCF number.
So the greatest common factor 14,89,678 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 342/14, 930/89, 418/678

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 342/14, 930/89, 418/678?

Answer: LCM of Numerators as per given numbers 342/14, 930/89, 418/678 is

LCM of Numerators i.e. for 342,930,418 is 583110

GCF of denominators i.e. for 14,89,678 is 1.

Thus, LCM of Fractions is 583110.Finally, LCM of Fractions for 342/14, 930/89, 418/678 is 583110.