Least Common Multiple of 60/797, 18/292, 192/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/797, 18/292, 192/805 quickly i.e. 2880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/797, 18/292, 192/805 is 2880.

LCM(60/797, 18/292, 192/805) = 2880

LCM of 60/797, 18/292, 192/805

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 60/797,18/292,192/805

Given numbers are 60/797,18/292,192/805

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 60,18,192

Least Common Multiple of Numerators i.e. LCM of 60,18,192 is 2880.

GCF of Denominators means GCF of 797,292,805 as per the given fractions.

GCF of 797,292,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,18,192

LCM of Fractions 60/797,18/292,192/805 is 2880

2 60, 18, 192
2 30, 9, 96
3 15, 9, 48
5, 3, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 16 = 2880

Least Common Multiple of 60,18,192 with GCF Formula

Least Common Multiple of 60,18,192 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 60,18,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,18,192) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(60,18,192) x common factors =6 x 12 = 72

LCM(60,18,192) = ( 60 × 18 × 192 ) / 72

LCM(60,18,192) = 207360 / 72

LCM(60,18,192) = 2880


Lets's calculate GCF of 797,292,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/1

Therefore the LCM of Fractions 60/797,18/292,192/805 is 2880

Greatest Common Factor of 797,292,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,292,805 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 805

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

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

Greatest Common Factor

We found the factors 797,292,805 . The biggest common factor number is the GCF number.
So the greatest common factor 797,292,805 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 60/797, 18/292, 192/805

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 60/797, 18/292, 192/805?

Answer: LCM of Numerators as per given numbers 60/797, 18/292, 192/805 is

LCM of Numerators i.e. for 60,18,192 is 2880

GCF of denominators i.e. for 797,292,805 is 1.

Thus, LCM of Fractions is 2880.Finally, LCM of Fractions for 60/797, 18/292, 192/805 is 2880.