Least Common Multiple of 99/49, 124/21, 210/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/49, 124/21, 210/759 quickly i.e. 429660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/49, 124/21, 210/759 is 429660.

LCM(99/49, 124/21, 210/759) = 429660

LCM of 99/49, 124/21, 210/759

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 99/49,124/21,210/759

Given numbers are 99/49,124/21,210/759

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 99,124,210

Least Common Multiple of Numerators i.e. LCM of 99,124,210 is 429660.

GCF of Denominators means GCF of 49,21,759 as per the given fractions.

GCF of 49,21,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,124,210

LCM of Fractions 99/49,124/21,210/759 is 429660

2 99, 124, 210
3 99, 62, 105
33, 62, 35

∴ So the LCM of the given numbers is 2 x 3 x 33 x 62 x 35 = 429660

Least Common Multiple of 99,124,210 with GCF Formula

Least Common Multiple of 99,124,210 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 99,124,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,124,210) = 1

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

GCF(99,124,210) x common factors =1 x 6 = 6

LCM(99,124,210) = ( 99 × 124 × 210 ) / 6

LCM(99,124,210) = 2577960 / 6

LCM(99,124,210) = 429660


Lets's calculate GCF of 49,21,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429660/1

Therefore the LCM of Fractions 99/49,124/21,210/759 is 429660

Greatest Common Factor of 49,21,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,21,759 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 49,21,759 . The biggest common factor number is the GCF number.
So the greatest common factor 49,21,759 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 99/49, 124/21, 210/759

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 99/49, 124/21, 210/759?

Answer: LCM of Numerators as per given numbers 99/49, 124/21, 210/759 is

LCM of Numerators i.e. for 99,124,210 is 429660

GCF of denominators i.e. for 49,21,759 is 1.

Thus, LCM of Fractions is 429660.Finally, LCM of Fractions for 99/49, 124/21, 210/759 is 429660.