Least Common Multiple of 284/50, 372/2106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/50, 372/2106 quickly i.e. 13206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/50, 372/2106 is 13206.

LCM(284/50, 372/2106) = 13206

LCM of 284/50, 372/2106

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 284/50,372/2106

Given numbers are 284/50,372/2106

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 284,372

Least Common Multiple of Numerators i.e. LCM of 284,372 is 26412.

GCF of Denominators means GCF of 50,2106 as per the given fractions.

GCF of 50,2106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,372

LCM of Fractions 284/50,372/2106 is 13206

2 284, 372
2 142, 186
71, 93

∴ So the LCM of the given numbers is 2 x 2 x 71 x 93 = 26412

Least Common Multiple of 284,372 with GCF Formula

Least Common Multiple of 284,372 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 284,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,372) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(284,372) x common factors =4 x 1 = 4

LCM(284,372) = ( 284 × 372 ) / 4

LCM(284,372) = 105648 / 4

LCM(284,372) = 26412


Lets's calculate GCF of 50,2106

2 50, 2106
25, 1053

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26412/2

Therefore the LCM of Fractions 284/50,372/2106 is 13206

Greatest Common Factor of 50,2106 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,2106 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 2106

List of positive integer factors of 2106 that divides 2106 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106

Greatest Common Factor

We found the factors 50,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 50,2106 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 284/50, 372/2106

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 284/50, 372/2106?

Answer: LCM of Numerators as per given numbers 284/50, 372/2106 is

LCM of Numerators i.e. for 284,372 is 26412

GCF of denominators i.e. for 50,2106 is 2.

Thus, LCM of Fractions is 13206.Finally, LCM of Fractions for 284/50, 372/2106 is 13206.