Least Common Multiple of 50/114, 476/594, 990/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/114, 476/594, 990/120 quickly i.e. 196350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/114, 476/594, 990/120 is 196350.

LCM(50/114, 476/594, 990/120) = 196350

LCM of 50/114, 476/594, 990/120

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 50/114,476/594,990/120

Given numbers are 50/114,476/594,990/120

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 50,476,990

Least Common Multiple of Numerators i.e. LCM of 50,476,990 is 1178100.

GCF of Denominators means GCF of 114,594,120 as per the given fractions.

GCF of 114,594,120 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,476,990

LCM of Fractions 50/114,476/594,990/120 is 196350

2 50, 476, 990
5 25, 238, 495
5, 238, 99

∴ So the LCM of the given numbers is 2 x 5 x 5 x 238 x 99 = 1178100

Least Common Multiple of 50,476,990 with GCF Formula

Least Common Multiple of 50,476,990 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 50,476,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,476,990) = 2

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

GCF(50,476,990) x common factors =2 x 10 = 20

LCM(50,476,990) = ( 50 × 476 × 990 ) / 20

LCM(50,476,990) = 23562000 / 20

LCM(50,476,990) = 1178100


Lets's calculate GCF of 114,594,120

2 114, 594, 120
3 57, 297, 60
19, 99, 20

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1178100/6

Therefore the LCM of Fractions 50/114,476/594,990/120 is 196350

Greatest Common Factor of 114,594,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,594,120 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 114,594,120 . The biggest common factor number is the GCF number.
So the greatest common factor 114,594,120 is 6.


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 50/114, 476/594, 990/120

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 50/114, 476/594, 990/120?

Answer: LCM of Numerators as per given numbers 50/114, 476/594, 990/120 is

LCM of Numerators i.e. for 50,476,990 is 1178100

GCF of denominators i.e. for 114,594,120 is 6.

Thus, LCM of Fractions is 196350.Finally, LCM of Fractions for 50/114, 476/594, 990/120 is 196350.