Least Common Multiple of 4916/900, 3614/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4916/900, 3614/905 quickly i.e. 8883212/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4916/900, 3614/905 is 8883212/5.

LCM(4916/900, 3614/905) = 8883212/5

LCM of 4916/900, 3614/905

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 4916/900,3614/905

Given numbers are 4916/900,3614/905

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 4916,3614

Least Common Multiple of Numerators i.e. LCM of 4916,3614 is 8883212.

GCF of Denominators means GCF of 900,905 as per the given fractions.

GCF of 900,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4916,3614

LCM of Fractions 4916/900,3614/905 is 8883212/5

2 4916, 3614
2458, 1807

∴ So the LCM of the given numbers is 2 x 2458 x 1807 = 8883212

Least Common Multiple of 4916,3614 with GCF Formula

Least Common Multiple of 4916,3614 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 4916,3614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4916,3614) = 2

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

GCF(4916,3614) x common factors =2 x 1 = 2

LCM(4916,3614) = ( 4916 × 3614 ) / 2

LCM(4916,3614) = 17766424 / 2

LCM(4916,3614) = 8883212


Lets's calculate GCF of 900,905

5 900, 905
180, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8883212/5

Therefore the LCM of Fractions 4916/900,3614/905 is 8883212/5

Greatest Common Factor of 900,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,905 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 900,905 . The biggest common factor number is the GCF number.
So the greatest common factor 900,905 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 4916/900, 3614/905

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 4916/900, 3614/905?

Answer: LCM of Numerators as per given numbers 4916/900, 3614/905 is

LCM of Numerators i.e. for 4916,3614 is 8883212

GCF of denominators i.e. for 900,905 is 5.

Thus, LCM of Fractions is 8883212/5.Finally, LCM of Fractions for 4916/900, 3614/905 is 8883212/5.