Least Common Multiple of 97/595, 23/975, 336/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/595, 23/975, 336/845 quickly i.e. 749616/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/595, 23/975, 336/845 is 749616/5.

LCM(97/595, 23/975, 336/845) = 749616/5

LCM of 97/595, 23/975, 336/845

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 97/595,23/975,336/845

Given numbers are 97/595,23/975,336/845

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 97,23,336

Least Common Multiple of Numerators i.e. LCM of 97,23,336 is 749616.

GCF of Denominators means GCF of 595,975,845 as per the given fractions.

GCF of 595,975,845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,23,336

LCM of Fractions 97/595,23/975,336/845 is 749616/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 749616

Least Common Multiple of 97,23,336 with GCF Formula

Least Common Multiple of 97,23,336 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 97,23,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,23,336) = 1

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

GCF(97,23,336) x common factors =1 x 1 = 1

LCM(97,23,336) = ( 97 × 23 × 336 ) / 1

LCM(97,23,336) = 749616 / 1

LCM(97,23,336) = 749616


Lets's calculate GCF of 595,975,845

5 595, 975, 845
119, 195, 169

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749616/5

Therefore the LCM of Fractions 97/595,23/975,336/845 is 749616/5

Greatest Common Factor of 595,975,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,975,845 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 595,975,845 . The biggest common factor number is the GCF number.
So the greatest common factor 595,975,845 is 5.


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 97/595, 23/975, 336/845

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 97/595, 23/975, 336/845?

Answer: LCM of Numerators as per given numbers 97/595, 23/975, 336/845 is

LCM of Numerators i.e. for 97,23,336 is 749616

GCF of denominators i.e. for 595,975,845 is 5.

Thus, LCM of Fractions is 749616/5.Finally, LCM of Fractions for 97/595, 23/975, 336/845 is 749616/5.