Least Common Multiple of 289/50, 420/38, 812/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/50, 420/38, 812/112 quickly i.e. 1760010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/50, 420/38, 812/112 is 1760010.

LCM(289/50, 420/38, 812/112) = 1760010

LCM of 289/50, 420/38, 812/112

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 289/50,420/38,812/112

Given numbers are 289/50,420/38,812/112

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 289,420,812

Least Common Multiple of Numerators i.e. LCM of 289,420,812 is 3520020.

GCF of Denominators means GCF of 50,38,112 as per the given fractions.

GCF of 50,38,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,420,812

LCM of Fractions 289/50,420/38,812/112 is 1760010

2 289, 420, 812
2 289, 210, 406
7 289, 105, 203
289, 15, 29

∴ So the LCM of the given numbers is 2 x 2 x 7 x 289 x 15 x 29 = 3520020

Least Common Multiple of 289,420,812 with GCF Formula

Least Common Multiple of 289,420,812 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 289,420,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,420,812) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(289,420,812) x common factors =1 x 28 = 28

LCM(289,420,812) = ( 289 × 420 × 812 ) / 28

LCM(289,420,812) = 98560560 / 28

LCM(289,420,812) = 3520020


Lets's calculate GCF of 50,38,112

2 50, 38, 112
25, 19, 56

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3520020/2

Therefore the LCM of Fractions 289/50,420/38,812/112 is 1760010

Greatest Common Factor of 50,38,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,38,112 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 50,38,112 . The biggest common factor number is the GCF number.
So the greatest common factor 50,38,112 is 2.


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 289/50, 420/38, 812/112

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 289/50, 420/38, 812/112?

Answer: LCM of Numerators as per given numbers 289/50, 420/38, 812/112 is

LCM of Numerators i.e. for 289,420,812 is 3520020

GCF of denominators i.e. for 50,38,112 is 2.

Thus, LCM of Fractions is 1760010.Finally, LCM of Fractions for 289/50, 420/38, 812/112 is 1760010.