Least Common Multiple of 99/51, 38/29, 87/71, 98/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/51, 38/29, 87/71, 98/218 quickly i.e. 5345802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/51, 38/29, 87/71, 98/218 is 5345802.

LCM(99/51, 38/29, 87/71, 98/218) = 5345802

LCM of 99/51, 38/29, 87/71, 98/218

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 99/51,38/29,87/71,98/218

Given numbers are 99/51,38/29,87/71,98/218

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 99,38,87,98

Least Common Multiple of Numerators i.e. LCM of 99,38,87,98 is 5345802.

GCF of Denominators means GCF of 51,29,71,218 as per the given fractions.

GCF of 51,29,71,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,38,87,98

LCM of Fractions 99/51,38/29,87/71,98/218 is 5345802

2 99, 38, 87, 98
3 99, 19, 87, 49
33, 19, 29, 49

∴ So the LCM of the given numbers is 2 x 3 x 33 x 19 x 29 x 49 = 5345802

Least Common Multiple of 99,38,87,98 with GCF Formula

Least Common Multiple of 99,38,87,98 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 99,38,87,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,38,87,98) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,38,87,98) x common factors =1 x 6 = 6

LCM(99,38,87,98) = ( 99 × 38 × 87 × 98 ) / 6

LCM(99,38,87,98) = 32074812 / 6

LCM(99,38,87,98) = 5345802


Lets's calculate GCF of 51,29,71,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5345802/1

Therefore the LCM of Fractions 99/51,38/29,87/71,98/218 is 5345802

Greatest Common Factor of 51,29,71,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,29,71,218 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 51,29,71,218 . The biggest common factor number is the GCF number.
So the greatest common factor 51,29,71,218 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 99/51, 38/29, 87/71, 98/218

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 99/51, 38/29, 87/71, 98/218?

Answer: LCM of Numerators as per given numbers 99/51, 38/29, 87/71, 98/218 is

LCM of Numerators i.e. for 99,38,87,98 is 5345802

GCF of denominators i.e. for 51,29,71,218 is 1.

Thus, LCM of Fractions is 5345802.Finally, LCM of Fractions for 99/51, 38/29, 87/71, 98/218 is 5345802.