Least Common Multiple of 19/279, 99/653, 200/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/279, 99/653, 200/111 quickly i.e. 376200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/279, 99/653, 200/111 is 376200.

LCM(19/279, 99/653, 200/111) = 376200

LCM of 19/279, 99/653, 200/111

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 19/279,99/653,200/111

Given numbers are 19/279,99/653,200/111

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 19,99,200

Least Common Multiple of Numerators i.e. LCM of 19,99,200 is 376200.

GCF of Denominators means GCF of 279,653,111 as per the given fractions.

GCF of 279,653,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,99,200

LCM of Fractions 19/279,99/653,200/111 is 376200

Given numbers has no common factors except 1. So, there LCM is their product i.e 376200

Least Common Multiple of 19,99,200 with GCF Formula

Least Common Multiple of 19,99,200 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 19,99,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,99,200) = 1

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

GCF(19,99,200) x common factors =1 x 1 = 1

LCM(19,99,200) = ( 19 × 99 × 200 ) / 1

LCM(19,99,200) = 376200 / 1

LCM(19,99,200) = 376200


Lets's calculate GCF of 279,653,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376200/1

Therefore the LCM of Fractions 19/279,99/653,200/111 is 376200

Greatest Common Factor of 279,653,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,653,111 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 279,653,111 . The biggest common factor number is the GCF number.
So the greatest common factor 279,653,111 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 19/279, 99/653, 200/111

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 19/279, 99/653, 200/111?

Answer: LCM of Numerators as per given numbers 19/279, 99/653, 200/111 is

LCM of Numerators i.e. for 19,99,200 is 376200

GCF of denominators i.e. for 279,653,111 is 1.

Thus, LCM of Fractions is 376200.Finally, LCM of Fractions for 19/279, 99/653, 200/111 is 376200.