Least Common Multiple of 2/678, 90/354, 39/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/678, 90/354, 39/402 quickly i.e. 195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/678, 90/354, 39/402 is 195.

LCM(2/678, 90/354, 39/402) = 195

LCM of 2/678, 90/354, 39/402

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 2/678,90/354,39/402

Given numbers are 2/678,90/354,39/402

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 2,90,39

Least Common Multiple of Numerators i.e. LCM of 2,90,39 is 1170.

GCF of Denominators means GCF of 678,354,402 as per the given fractions.

GCF of 678,354,402 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,90,39

LCM of Fractions 2/678,90/354,39/402 is 195

2 2, 90, 39
3 1, 45, 39
1, 15, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 15 x 13 = 1170

Least Common Multiple of 2,90,39 with GCF Formula

Least Common Multiple of 2,90,39 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 2,90,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,90,39) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(2,90,39) x common factors =1 x 6 = 6

LCM(2,90,39) = ( 2 × 90 × 39 ) / 6

LCM(2,90,39) = 7020 / 6

LCM(2,90,39) = 1170


Lets's calculate GCF of 678,354,402

2 678, 354, 402
3 339, 177, 201
113, 59, 67

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170/6

Therefore the LCM of Fractions 2/678,90/354,39/402 is 195

Greatest Common Factor of 678,354,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,354,402 By Matching Biggest Common Factor Method

Factors of 678

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

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

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 678,354,402 . The biggest common factor number is the GCF number.
So the greatest common factor 678,354,402 is 6.


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 2/678, 90/354, 39/402

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 2/678, 90/354, 39/402?

Answer: LCM of Numerators as per given numbers 2/678, 90/354, 39/402 is

LCM of Numerators i.e. for 2,90,39 is 1170

GCF of denominators i.e. for 678,354,402 is 6.

Thus, LCM of Fractions is 195.Finally, LCM of Fractions for 2/678, 90/354, 39/402 is 195.