Least Common Multiple of 36/550, 2842/3895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/550, 2842/3895 quickly i.e. 51156/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/550, 2842/3895 is 51156/5.

LCM(36/550, 2842/3895) = 51156/5

LCM of 36/550, 2842/3895

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 36/550,2842/3895

Given numbers are 36/550,2842/3895

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 36,2842

Least Common Multiple of Numerators i.e. LCM of 36,2842 is 51156.

GCF of Denominators means GCF of 550,3895 as per the given fractions.

GCF of 550,3895 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,2842

LCM of Fractions 36/550,2842/3895 is 51156/5

2 36, 2842
18, 1421

∴ So the LCM of the given numbers is 2 x 18 x 1421 = 51156

Least Common Multiple of 36,2842 with GCF Formula

Least Common Multiple of 36,2842 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 36,2842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,2842) = 2

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

GCF(36,2842) x common factors =2 x 1 = 2

LCM(36,2842) = ( 36 × 2842 ) / 2

LCM(36,2842) = 102312 / 2

LCM(36,2842) = 51156


Lets's calculate GCF of 550,3895

5 550, 3895
110, 779

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51156/5

Therefore the LCM of Fractions 36/550,2842/3895 is 51156/5

Greatest Common Factor of 550,3895 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,3895 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 3895

List of positive integer factors of 3895 that divides 3895 without a remainder.

1,5,19,41,95,205,779,3895

Greatest Common Factor

We found the factors 550,3895 . The biggest common factor number is the GCF number.
So the greatest common factor 550,3895 is 5.


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 36/550, 2842/3895

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 36/550, 2842/3895?

Answer: LCM of Numerators as per given numbers 36/550, 2842/3895 is

LCM of Numerators i.e. for 36,2842 is 51156

GCF of denominators i.e. for 550,3895 is 5.

Thus, LCM of Fractions is 51156/5.Finally, LCM of Fractions for 36/550, 2842/3895 is 51156/5.