Least Common Multiple of 50/369, 99/938, 370/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/369, 99/938, 370/596 quickly i.e. 183150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/369, 99/938, 370/596 is 183150.

LCM(50/369, 99/938, 370/596) = 183150

LCM of 50/369, 99/938, 370/596

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 50/369,99/938,370/596

Given numbers are 50/369,99/938,370/596

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 50,99,370

Least Common Multiple of Numerators i.e. LCM of 50,99,370 is 183150.

GCF of Denominators means GCF of 369,938,596 as per the given fractions.

GCF of 369,938,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,99,370

LCM of Fractions 50/369,99/938,370/596 is 183150

2 50, 99, 370
5 25, 99, 185
5, 99, 37

∴ So the LCM of the given numbers is 2 x 5 x 5 x 99 x 37 = 183150

Least Common Multiple of 50,99,370 with GCF Formula

Least Common Multiple of 50,99,370 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 50,99,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,99,370) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(50,99,370) x common factors =1 x 10 = 10

LCM(50,99,370) = ( 50 × 99 × 370 ) / 10

LCM(50,99,370) = 1831500 / 10

LCM(50,99,370) = 183150


Lets's calculate GCF of 369,938,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183150/1

Therefore the LCM of Fractions 50/369,99/938,370/596 is 183150

Greatest Common Factor of 369,938,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,938,596 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 369,938,596 . The biggest common factor number is the GCF number.
So the greatest common factor 369,938,596 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 50/369, 99/938, 370/596

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 50/369, 99/938, 370/596?

Answer: LCM of Numerators as per given numbers 50/369, 99/938, 370/596 is

LCM of Numerators i.e. for 50,99,370 is 183150

GCF of denominators i.e. for 369,938,596 is 1.

Thus, LCM of Fractions is 183150.Finally, LCM of Fractions for 50/369, 99/938, 370/596 is 183150.