Least Common Multiple of 99/587, 199/376, 123/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/587, 199/376, 123/201 quickly i.e. 807741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/587, 199/376, 123/201 is 807741.

LCM(99/587, 199/376, 123/201) = 807741

LCM of 99/587, 199/376, 123/201

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 99/587,199/376,123/201

Given numbers are 99/587,199/376,123/201

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 99,199,123

Least Common Multiple of Numerators i.e. LCM of 99,199,123 is 807741.

GCF of Denominators means GCF of 587,376,201 as per the given fractions.

GCF of 587,376,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,199,123

LCM of Fractions 99/587,199/376,123/201 is 807741

3 99, 199, 123
33, 199, 41

∴ So the LCM of the given numbers is 3 x 33 x 199 x 41 = 807741

Least Common Multiple of 99,199,123 with GCF Formula

Least Common Multiple of 99,199,123 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 99,199,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,199,123) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,199,123) x common factors =1 x 3 = 3

LCM(99,199,123) = ( 99 × 199 × 123 ) / 3

LCM(99,199,123) = 2423223 / 3

LCM(99,199,123) = 807741


Lets's calculate GCF of 587,376,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807741/1

Therefore the LCM of Fractions 99/587,199/376,123/201 is 807741

Greatest Common Factor of 587,376,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,376,201 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 587,376,201 . The biggest common factor number is the GCF number.
So the greatest common factor 587,376,201 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 99/587, 199/376, 123/201

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 99/587, 199/376, 123/201?

Answer: LCM of Numerators as per given numbers 99/587, 199/376, 123/201 is

LCM of Numerators i.e. for 99,199,123 is 807741

GCF of denominators i.e. for 587,376,201 is 1.

Thus, LCM of Fractions is 807741.Finally, LCM of Fractions for 99/587, 199/376, 123/201 is 807741.