Least Common Multiple of 291/68, 409/18, 197/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/68, 409/18, 197/348 quickly i.e. 23446743/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/68, 409/18, 197/348 is 23446743/2.

LCM(291/68, 409/18, 197/348) = 23446743/2

LCM of 291/68, 409/18, 197/348

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 291/68,409/18,197/348

Given numbers are 291/68,409/18,197/348

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 291,409,197

Least Common Multiple of Numerators i.e. LCM of 291,409,197 is 23446743.

GCF of Denominators means GCF of 68,18,348 as per the given fractions.

GCF of 68,18,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,409,197

LCM of Fractions 291/68,409/18,197/348 is 23446743/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 23446743

Least Common Multiple of 291,409,197 with GCF Formula

Least Common Multiple of 291,409,197 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 291,409,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,409,197) = 1

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

GCF(291,409,197) x common factors =1 x 1 = 1

LCM(291,409,197) = ( 291 × 409 × 197 ) / 1

LCM(291,409,197) = 23446743 / 1

LCM(291,409,197) = 23446743


Lets's calculate GCF of 68,18,348

2 68, 18, 348
34, 9, 174

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23446743/2

Therefore the LCM of Fractions 291/68,409/18,197/348 is 23446743/2

Greatest Common Factor of 68,18,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,18,348 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 68,18,348 . The biggest common factor number is the GCF number.
So the greatest common factor 68,18,348 is 2.


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 291/68, 409/18, 197/348

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 291/68, 409/18, 197/348?

Answer: LCM of Numerators as per given numbers 291/68, 409/18, 197/348 is

LCM of Numerators i.e. for 291,409,197 is 23446743

GCF of denominators i.e. for 68,18,348 is 2.

Thus, LCM of Fractions is 23446743/2.Finally, LCM of Fractions for 291/68, 409/18, 197/348 is 23446743/2.