Least Common Multiple of 120/50, 637/95, 366/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/50, 637/95, 366/214 quickly i.e. 4662840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/50, 637/95, 366/214 is 4662840.

LCM(120/50, 637/95, 366/214) = 4662840

LCM of 120/50, 637/95, 366/214

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 120/50,637/95,366/214

Given numbers are 120/50,637/95,366/214

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 120,637,366

Least Common Multiple of Numerators i.e. LCM of 120,637,366 is 4662840.

GCF of Denominators means GCF of 50,95,214 as per the given fractions.

GCF of 50,95,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,637,366

LCM of Fractions 120/50,637/95,366/214 is 4662840

2 120, 637, 366
3 60, 637, 183
20, 637, 61

∴ So the LCM of the given numbers is 2 x 3 x 20 x 637 x 61 = 4662840

Least Common Multiple of 120,637,366 with GCF Formula

Least Common Multiple of 120,637,366 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 120,637,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,637,366) = 1

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

GCF(120,637,366) x common factors =1 x 6 = 6

LCM(120,637,366) = ( 120 × 637 × 366 ) / 6

LCM(120,637,366) = 27977040 / 6

LCM(120,637,366) = 4662840


Lets's calculate GCF of 50,95,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4662840/1

Therefore the LCM of Fractions 120/50,637/95,366/214 is 4662840

Greatest Common Factor of 50,95,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,95,214 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 50,95,214 . The biggest common factor number is the GCF number.
So the greatest common factor 50,95,214 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 120/50, 637/95, 366/214

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 120/50, 637/95, 366/214?

Answer: LCM of Numerators as per given numbers 120/50, 637/95, 366/214 is

LCM of Numerators i.e. for 120,637,366 is 4662840

GCF of denominators i.e. for 50,95,214 is 1.

Thus, LCM of Fractions is 4662840.Finally, LCM of Fractions for 120/50, 637/95, 366/214 is 4662840.