Least Common Multiple of 402/78, 207/3032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/78, 207/3032 quickly i.e. 13869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/78, 207/3032 is 13869.

LCM(402/78, 207/3032) = 13869

LCM of 402/78, 207/3032

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 402/78,207/3032

Given numbers are 402/78,207/3032

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 402,207

Least Common Multiple of Numerators i.e. LCM of 402,207 is 27738.

GCF of Denominators means GCF of 78,3032 as per the given fractions.

GCF of 78,3032 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,207

LCM of Fractions 402/78,207/3032 is 13869

3 402, 207
134, 69

∴ So the LCM of the given numbers is 3 x 134 x 69 = 27738

Least Common Multiple of 402,207 with GCF Formula

Least Common Multiple of 402,207 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 402,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,207) = 3

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

GCF(402,207) x common factors =3 x 1 = 3

LCM(402,207) = ( 402 × 207 ) / 3

LCM(402,207) = 83214 / 3

LCM(402,207) = 27738


Lets's calculate GCF of 78,3032

2 78, 3032
39, 1516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27738/2

Therefore the LCM of Fractions 402/78,207/3032 is 13869

Greatest Common Factor of 78,3032 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,3032 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 78,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 78,3032 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 402/78, 207/3032

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 402/78, 207/3032?

Answer: LCM of Numerators as per given numbers 402/78, 207/3032 is

LCM of Numerators i.e. for 402,207 is 27738

GCF of denominators i.e. for 78,3032 is 2.

Thus, LCM of Fractions is 13869.Finally, LCM of Fractions for 402/78, 207/3032 is 13869.