Least Common Multiple of 81/987, 493/154, 902/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/987, 493/154, 902/315 quickly i.e. 36019566/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/987, 493/154, 902/315 is 36019566/7.

LCM(81/987, 493/154, 902/315) = 36019566/7

LCM of 81/987, 493/154, 902/315

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 81/987,493/154,902/315

Given numbers are 81/987,493/154,902/315

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 81,493,902

Least Common Multiple of Numerators i.e. LCM of 81,493,902 is 36019566.

GCF of Denominators means GCF of 987,154,315 as per the given fractions.

GCF of 987,154,315 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,493,902

LCM of Fractions 81/987,493/154,902/315 is 36019566/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 36019566

Least Common Multiple of 81,493,902 with GCF Formula

Least Common Multiple of 81,493,902 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 81,493,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,493,902) = 1

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

GCF(81,493,902) x common factors =1 x 1 = 1

LCM(81,493,902) = ( 81 × 493 × 902 ) / 1

LCM(81,493,902) = 36019566 / 1

LCM(81,493,902) = 36019566


Lets's calculate GCF of 987,154,315

7 987, 154, 315
141, 22, 45

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36019566/7

Therefore the LCM of Fractions 81/987,493/154,902/315 is 36019566/7

Greatest Common Factor of 987,154,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,154,315 By Matching Biggest Common Factor Method

Factors of 987

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

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

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 987,154,315 . The biggest common factor number is the GCF number.
So the greatest common factor 987,154,315 is 7.


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 81/987, 493/154, 902/315

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 81/987, 493/154, 902/315?

Answer: LCM of Numerators as per given numbers 81/987, 493/154, 902/315 is

LCM of Numerators i.e. for 81,493,902 is 36019566

GCF of denominators i.e. for 987,154,315 is 7.

Thus, LCM of Fractions is 36019566/7.Finally, LCM of Fractions for 81/987, 493/154, 902/315 is 36019566/7.