Least Common Multiple of 97/65, 37/378, 606/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/65, 37/378, 606/305 quickly i.e. 2174934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/65, 37/378, 606/305 is 2174934.

LCM(97/65, 37/378, 606/305) = 2174934

LCM of 97/65, 37/378, 606/305

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 97/65,37/378,606/305

Given numbers are 97/65,37/378,606/305

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 97,37,606

Least Common Multiple of Numerators i.e. LCM of 97,37,606 is 2174934.

GCF of Denominators means GCF of 65,378,305 as per the given fractions.

GCF of 65,378,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,37,606

LCM of Fractions 97/65,37/378,606/305 is 2174934

Given numbers has no common factors except 1. So, there LCM is their product i.e 2174934

Least Common Multiple of 97,37,606 with GCF Formula

Least Common Multiple of 97,37,606 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 97,37,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,37,606) = 1

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

GCF(97,37,606) x common factors =1 x 1 = 1

LCM(97,37,606) = ( 97 × 37 × 606 ) / 1

LCM(97,37,606) = 2174934 / 1

LCM(97,37,606) = 2174934


Lets's calculate GCF of 65,378,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2174934/1

Therefore the LCM of Fractions 97/65,37/378,606/305 is 2174934

Greatest Common Factor of 65,378,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,378,305 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 65,378,305 . The biggest common factor number is the GCF number.
So the greatest common factor 65,378,305 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 97/65, 37/378, 606/305

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 97/65, 37/378, 606/305?

Answer: LCM of Numerators as per given numbers 97/65, 37/378, 606/305 is

LCM of Numerators i.e. for 97,37,606 is 2174934

GCF of denominators i.e. for 65,378,305 is 1.

Thus, LCM of Fractions is 2174934.Finally, LCM of Fractions for 97/65, 37/378, 606/305 is 2174934.