Least Common Multiple of 97/69, 18/70, 82/12, 48/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/69, 18/70, 82/12, 48/361 quickly i.e. 572688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/69, 18/70, 82/12, 48/361 is 572688.

LCM(97/69, 18/70, 82/12, 48/361) = 572688

LCM of 97/69, 18/70, 82/12, 48/361

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 97/69,18/70,82/12,48/361

Given numbers are 97/69,18/70,82/12,48/361

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 97,18,82,48

Least Common Multiple of Numerators i.e. LCM of 97,18,82,48 is 572688.

GCF of Denominators means GCF of 69,70,12,361 as per the given fractions.

GCF of 69,70,12,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,18,82,48

LCM of Fractions 97/69,18/70,82/12,48/361 is 572688

2 97, 18, 82, 48
3 97, 9, 41, 24
97, 3, 41, 8

∴ So the LCM of the given numbers is 2 x 3 x 97 x 3 x 41 x 8 = 572688

Least Common Multiple of 97,18,82,48 with GCF Formula

Least Common Multiple of 97,18,82,48 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 97,18,82,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,18,82,48) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(97,18,82,48) x common factors =1 x 12 = 12

LCM(97,18,82,48) = ( 97 × 18 × 82 × 48 ) / 12

LCM(97,18,82,48) = 6872256 / 12

LCM(97,18,82,48) = 572688


Lets's calculate GCF of 69,70,12,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572688/1

Therefore the LCM of Fractions 97/69,18/70,82/12,48/361 is 572688

Greatest Common Factor of 69,70,12,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,70,12,361 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 69,70,12,361 . The biggest common factor number is the GCF number.
So the greatest common factor 69,70,12,361 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 97/69, 18/70, 82/12, 48/361

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 97/69, 18/70, 82/12, 48/361?

Answer: LCM of Numerators as per given numbers 97/69, 18/70, 82/12, 48/361 is

LCM of Numerators i.e. for 97,18,82,48 is 572688

GCF of denominators i.e. for 69,70,12,361 is 1.

Thus, LCM of Fractions is 572688.Finally, LCM of Fractions for 97/69, 18/70, 82/12, 48/361 is 572688.