Least Common Multiple of 5460/805, 3374/2368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5460/805, 3374/2368 quickly i.e. 1315860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5460/805, 3374/2368 is 1315860.

LCM(5460/805, 3374/2368) = 1315860

LCM of 5460/805, 3374/2368

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 5460/805,3374/2368

Given numbers are 5460/805,3374/2368

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 5460,3374

Least Common Multiple of Numerators i.e. LCM of 5460,3374 is 1315860.

GCF of Denominators means GCF of 805,2368 as per the given fractions.

GCF of 805,2368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5460,3374

LCM of Fractions 5460/805,3374/2368 is 1315860

2 5460, 3374
7 2730, 1687
390, 241

∴ So the LCM of the given numbers is 2 x 7 x 390 x 241 = 1315860

Least Common Multiple of 5460,3374 with GCF Formula

Least Common Multiple of 5460,3374 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 5460,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5460,3374) = 14

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

GCF(5460,3374) x common factors =14 x 1 = 14

LCM(5460,3374) = ( 5460 × 3374 ) / 14

LCM(5460,3374) = 18422040 / 14

LCM(5460,3374) = 1315860


Lets's calculate GCF of 805,2368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1315860/1

Therefore the LCM of Fractions 5460/805,3374/2368 is 1315860

Greatest Common Factor of 805,2368 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,2368 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Greatest Common Factor

We found the factors 805,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 805,2368 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 5460/805, 3374/2368

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 5460/805, 3374/2368?

Answer: LCM of Numerators as per given numbers 5460/805, 3374/2368 is

LCM of Numerators i.e. for 5460,3374 is 1315860

GCF of denominators i.e. for 805,2368 is 1.

Thus, LCM of Fractions is 1315860.Finally, LCM of Fractions for 5460/805, 3374/2368 is 1315860.