Least Common Multiple of 61/216, 99/224, 371/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/216, 99/224, 371/296 quickly i.e. 2240469/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/216, 99/224, 371/296 is 2240469/8.

LCM(61/216, 99/224, 371/296) = 2240469/8

LCM of 61/216, 99/224, 371/296

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 61/216,99/224,371/296

Given numbers are 61/216,99/224,371/296

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 61,99,371

Least Common Multiple of Numerators i.e. LCM of 61,99,371 is 2240469.

GCF of Denominators means GCF of 216,224,296 as per the given fractions.

GCF of 216,224,296 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,99,371

LCM of Fractions 61/216,99/224,371/296 is 2240469/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 2240469

Least Common Multiple of 61,99,371 with GCF Formula

Least Common Multiple of 61,99,371 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 61,99,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,99,371) = 1

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

GCF(61,99,371) x common factors =1 x 1 = 1

LCM(61,99,371) = ( 61 × 99 × 371 ) / 1

LCM(61,99,371) = 2240469 / 1

LCM(61,99,371) = 2240469


Lets's calculate GCF of 216,224,296

2 216, 224, 296
2 108, 112, 148
2 54, 56, 74
27, 28, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2240469/8

Therefore the LCM of Fractions 61/216,99/224,371/296 is 2240469/8

Greatest Common Factor of 216,224,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,224,296 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 216,224,296 . The biggest common factor number is the GCF number.
So the greatest common factor 216,224,296 is 8.


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 61/216, 99/224, 371/296

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 61/216, 99/224, 371/296?

Answer: LCM of Numerators as per given numbers 61/216, 99/224, 371/296 is

LCM of Numerators i.e. for 61,99,371 is 2240469

GCF of denominators i.e. for 216,224,296 is 8.

Thus, LCM of Fractions is 2240469/8.Finally, LCM of Fractions for 61/216, 99/224, 371/296 is 2240469/8.