Least Common Multiple of 97/308, 18/437, 318/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/308, 18/437, 318/789 quickly i.e. 92538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/308, 18/437, 318/789 is 92538.

LCM(97/308, 18/437, 318/789) = 92538

LCM of 97/308, 18/437, 318/789

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 97/308,18/437,318/789

Given numbers are 97/308,18/437,318/789

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 97,18,318

Least Common Multiple of Numerators i.e. LCM of 97,18,318 is 92538.

GCF of Denominators means GCF of 308,437,789 as per the given fractions.

GCF of 308,437,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,18,318

LCM of Fractions 97/308,18/437,318/789 is 92538

2 97, 18, 318
3 97, 9, 159
97, 3, 53

∴ So the LCM of the given numbers is 2 x 3 x 97 x 3 x 53 = 92538

Least Common Multiple of 97,18,318 with GCF Formula

Least Common Multiple of 97,18,318 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 97,18,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,18,318) = 1

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

GCF(97,18,318) x common factors =1 x 6 = 6

LCM(97,18,318) = ( 97 × 18 × 318 ) / 6

LCM(97,18,318) = 555228 / 6

LCM(97,18,318) = 92538


Lets's calculate GCF of 308,437,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92538/1

Therefore the LCM of Fractions 97/308,18/437,318/789 is 92538

Greatest Common Factor of 308,437,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,437,789 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 308,437,789 . The biggest common factor number is the GCF number.
So the greatest common factor 308,437,789 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 97/308, 18/437, 318/789

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 97/308, 18/437, 318/789?

Answer: LCM of Numerators as per given numbers 97/308, 18/437, 318/789 is

LCM of Numerators i.e. for 97,18,318 is 92538

GCF of denominators i.e. for 308,437,789 is 1.

Thus, LCM of Fractions is 92538.Finally, LCM of Fractions for 97/308, 18/437, 318/789 is 92538.