Least Common Multiple of 1695/727, 1360/2519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1695/727, 1360/2519 quickly i.e. 461040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1695/727, 1360/2519 is 461040.

LCM(1695/727, 1360/2519) = 461040

LCM of 1695/727, 1360/2519

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 1695/727,1360/2519

Given numbers are 1695/727,1360/2519

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 1695,1360

Least Common Multiple of Numerators i.e. LCM of 1695,1360 is 461040.

GCF of Denominators means GCF of 727,2519 as per the given fractions.

GCF of 727,2519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1695,1360

LCM of Fractions 1695/727,1360/2519 is 461040

5 1695, 1360
339, 272

∴ So the LCM of the given numbers is 5 x 339 x 272 = 461040

Least Common Multiple of 1695,1360 with GCF Formula

Least Common Multiple of 1695,1360 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 1695,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1695,1360) = 5

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

GCF(1695,1360) x common factors =5 x 1 = 5

LCM(1695,1360) = ( 1695 × 1360 ) / 5

LCM(1695,1360) = 2305200 / 5

LCM(1695,1360) = 461040


Lets's calculate GCF of 727,2519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461040/1

Therefore the LCM of Fractions 1695/727,1360/2519 is 461040

Greatest Common Factor of 727,2519 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,2519 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 2519

List of positive integer factors of 2519 that divides 2519 without a remainder.

1,11,229,2519

Greatest Common Factor

We found the factors 727,2519 . The biggest common factor number is the GCF number.
So the greatest common factor 727,2519 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 1695/727, 1360/2519

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 1695/727, 1360/2519?

Answer: LCM of Numerators as per given numbers 1695/727, 1360/2519 is

LCM of Numerators i.e. for 1695,1360 is 461040

GCF of denominators i.e. for 727,2519 is 1.

Thus, LCM of Fractions is 461040.Finally, LCM of Fractions for 1695/727, 1360/2519 is 461040.