Least Common Multiple of 97/66, 56/11, 18/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/66, 56/11, 18/792 quickly i.e. 48888/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/66, 56/11, 18/792 is 48888/11.

LCM(97/66, 56/11, 18/792) = 48888/11

LCM of 97/66, 56/11, 18/792

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 97/66,56/11,18/792

Given numbers are 97/66,56/11,18/792

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 97,56,18

Least Common Multiple of Numerators i.e. LCM of 97,56,18 is 48888.

GCF of Denominators means GCF of 66,11,792 as per the given fractions.

GCF of 66,11,792 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,56,18

LCM of Fractions 97/66,56/11,18/792 is 48888/11

2 97, 56, 18
97, 28, 9

∴ So the LCM of the given numbers is 2 x 97 x 28 x 9 = 48888

Least Common Multiple of 97,56,18 with GCF Formula

Least Common Multiple of 97,56,18 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 97,56,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,56,18) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,56,18) x common factors =1 x 2 = 2

LCM(97,56,18) = ( 97 × 56 × 18 ) / 2

LCM(97,56,18) = 97776 / 2

LCM(97,56,18) = 48888


Lets's calculate GCF of 66,11,792

11 66, 11, 792
6, 1, 72

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48888/11

Therefore the LCM of Fractions 97/66,56/11,18/792 is 48888/11

Greatest Common Factor of 66,11,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,11,792 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 66,11,792 . The biggest common factor number is the GCF number.
So the greatest common factor 66,11,792 is 11.


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 97/66, 56/11, 18/792

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 97/66, 56/11, 18/792?

Answer: LCM of Numerators as per given numbers 97/66, 56/11, 18/792 is

LCM of Numerators i.e. for 97,56,18 is 48888

GCF of denominators i.e. for 66,11,792 is 11.

Thus, LCM of Fractions is 48888/11.Finally, LCM of Fractions for 97/66, 56/11, 18/792 is 48888/11.