Least Common Multiple of 38/357, 81/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/357, 81/987 quickly i.e. 3078/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/357, 81/987 is 3078/21.

LCM(38/357, 81/987) = 3078/21

LCM of 38/357, 81/987

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 38/357,81/987

Given numbers are 38/357,81/987

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 38,81

Least Common Multiple of Numerators i.e. LCM of 38,81 is 3078.

GCF of Denominators means GCF of 357,987 as per the given fractions.

GCF of 357,987 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,81

LCM of Fractions 38/357,81/987 is 3078/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 3078

Least Common Multiple of 38,81 with GCF Formula

Least Common Multiple of 38,81 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 38,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,81) = 1

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

GCF(38,81) x common factors =1 x 1 = 1

LCM(38,81) = ( 38 × 81 ) / 1

LCM(38,81) = 3078 / 1

LCM(38,81) = 3078


Lets's calculate GCF of 357,987

3 357, 987
7 119, 329
17, 47

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3078/21

Therefore the LCM of Fractions 38/357,81/987 is 3078/21

Greatest Common Factor of 357,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,987 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 987

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

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

Greatest Common Factor

We found the factors 357,987 . The biggest common factor number is the GCF number.
So the greatest common factor 357,987 is 21.


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 38/357, 81/987

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 38/357, 81/987?

Answer: LCM of Numerators as per given numbers 38/357, 81/987 is

LCM of Numerators i.e. for 38,81 is 3078

GCF of denominators i.e. for 357,987 is 21.

Thus, LCM of Fractions is 3078/21.Finally, LCM of Fractions for 38/357, 81/987 is 3078/21.