Least Common Multiple of 78/397, 387/231, 988/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/397, 387/231, 988/197 quickly i.e. 382356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/397, 387/231, 988/197 is 382356.

LCM(78/397, 387/231, 988/197) = 382356

LCM of 78/397, 387/231, 988/197

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 78/397,387/231,988/197

Given numbers are 78/397,387/231,988/197

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 78,387,988

Least Common Multiple of Numerators i.e. LCM of 78,387,988 is 382356.

GCF of Denominators means GCF of 397,231,197 as per the given fractions.

GCF of 397,231,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,387,988

LCM of Fractions 78/397,387/231,988/197 is 382356

2 78, 387, 988
3 39, 387, 494
13 13, 129, 494
1, 129, 38

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 129 x 38 = 382356

Least Common Multiple of 78,387,988 with GCF Formula

Least Common Multiple of 78,387,988 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 78,387,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,387,988) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(78,387,988) x common factors =1 x 78 = 78

LCM(78,387,988) = ( 78 × 387 × 988 ) / 78

LCM(78,387,988) = 29823768 / 78

LCM(78,387,988) = 382356


Lets's calculate GCF of 397,231,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382356/1

Therefore the LCM of Fractions 78/397,387/231,988/197 is 382356

Greatest Common Factor of 397,231,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,231,197 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 397,231,197 . The biggest common factor number is the GCF number.
So the greatest common factor 397,231,197 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 78/397, 387/231, 988/197

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 78/397, 387/231, 988/197?

Answer: LCM of Numerators as per given numbers 78/397, 387/231, 988/197 is

LCM of Numerators i.e. for 78,387,988 is 382356

GCF of denominators i.e. for 397,231,197 is 1.

Thus, LCM of Fractions is 382356.Finally, LCM of Fractions for 78/397, 387/231, 988/197 is 382356.