Least Common Multiple of 5400/320, 5780/4651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5400/320, 5780/4651 quickly i.e. 1560600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5400/320, 5780/4651 is 1560600.

LCM(5400/320, 5780/4651) = 1560600

LCM of 5400/320, 5780/4651

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 5400/320,5780/4651

Given numbers are 5400/320,5780/4651

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 5400,5780

Least Common Multiple of Numerators i.e. LCM of 5400,5780 is 1560600.

GCF of Denominators means GCF of 320,4651 as per the given fractions.

GCF of 320,4651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5400,5780

LCM of Fractions 5400/320,5780/4651 is 1560600

2 5400, 5780
2 2700, 2890
5 1350, 1445
270, 289

∴ So the LCM of the given numbers is 2 x 2 x 5 x 270 x 289 = 1560600

Least Common Multiple of 5400,5780 with GCF Formula

Least Common Multiple of 5400,5780 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 5400,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5400,5780) = 20

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

GCF(5400,5780) x common factors =20 x 1 = 20

LCM(5400,5780) = ( 5400 × 5780 ) / 20

LCM(5400,5780) = 31212000 / 20

LCM(5400,5780) = 1560600


Lets's calculate GCF of 320,4651

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560600/1

Therefore the LCM of Fractions 5400/320,5780/4651 is 1560600

Greatest Common Factor of 320,4651 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,4651 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 4651

List of positive integer factors of 4651 that divides 4651 without a remainder.

1,4651

Greatest Common Factor

We found the factors 320,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 320,4651 is 1.


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 5400/320, 5780/4651

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 5400/320, 5780/4651?

Answer: LCM of Numerators as per given numbers 5400/320, 5780/4651 is

LCM of Numerators i.e. for 5400,5780 is 1560600

GCF of denominators i.e. for 320,4651 is 1.

Thus, LCM of Fractions is 1560600.Finally, LCM of Fractions for 5400/320, 5780/4651 is 1560600.