Least Common Multiple of 5716/900, 3768/2907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5716/900, 3768/2907 quickly i.e. 5384472/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5716/900, 3768/2907 is 5384472/9.

LCM(5716/900, 3768/2907) = 5384472/9

LCM of 5716/900, 3768/2907

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 5716/900,3768/2907

Given numbers are 5716/900,3768/2907

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 5716,3768

Least Common Multiple of Numerators i.e. LCM of 5716,3768 is 5384472.

GCF of Denominators means GCF of 900,2907 as per the given fractions.

GCF of 900,2907 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5716,3768

LCM of Fractions 5716/900,3768/2907 is 5384472/9

2 5716, 3768
2 2858, 1884
1429, 942

∴ So the LCM of the given numbers is 2 x 2 x 1429 x 942 = 5384472

Least Common Multiple of 5716,3768 with GCF Formula

Least Common Multiple of 5716,3768 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 5716,3768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5716,3768) = 4

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

GCF(5716,3768) x common factors =4 x 1 = 4

LCM(5716,3768) = ( 5716 × 3768 ) / 4

LCM(5716,3768) = 21537888 / 4

LCM(5716,3768) = 5384472


Lets's calculate GCF of 900,2907

3 900, 2907
3 300, 969
100, 323

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5384472/9

Therefore the LCM of Fractions 5716/900,3768/2907 is 5384472/9

Greatest Common Factor of 900,2907 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,2907 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 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1,3,9,17,19,51,57,153,171,323,969,2907

Greatest Common Factor

We found the factors 900,2907 . The biggest common factor number is the GCF number.
So the greatest common factor 900,2907 is 9.


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 5716/900, 3768/2907

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 5716/900, 3768/2907?

Answer: LCM of Numerators as per given numbers 5716/900, 3768/2907 is

LCM of Numerators i.e. for 5716,3768 is 5384472

GCF of denominators i.e. for 900,2907 is 9.

Thus, LCM of Fractions is 5384472/9.Finally, LCM of Fractions for 5716/900, 3768/2907 is 5384472/9.