Least Common Multiple of 27/791, 674/560, 735/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/791, 674/560, 735/258 quickly i.e. 4458510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/791, 674/560, 735/258 is 4458510.

LCM(27/791, 674/560, 735/258) = 4458510

LCM of 27/791, 674/560, 735/258

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 27/791,674/560,735/258

Given numbers are 27/791,674/560,735/258

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 27,674,735

Least Common Multiple of Numerators i.e. LCM of 27,674,735 is 4458510.

GCF of Denominators means GCF of 791,560,258 as per the given fractions.

GCF of 791,560,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,674,735

LCM of Fractions 27/791,674/560,735/258 is 4458510

3 27, 674, 735
9, 674, 245

∴ So the LCM of the given numbers is 3 x 9 x 674 x 245 = 4458510

Least Common Multiple of 27,674,735 with GCF Formula

Least Common Multiple of 27,674,735 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 27,674,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,674,735) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,674,735) x common factors =1 x 3 = 3

LCM(27,674,735) = ( 27 × 674 × 735 ) / 3

LCM(27,674,735) = 13375530 / 3

LCM(27,674,735) = 4458510


Lets's calculate GCF of 791,560,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4458510/1

Therefore the LCM of Fractions 27/791,674/560,735/258 is 4458510

Greatest Common Factor of 791,560,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,560,258 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 791,560,258 . The biggest common factor number is the GCF number.
So the greatest common factor 791,560,258 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 27/791, 674/560, 735/258

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 27/791, 674/560, 735/258?

Answer: LCM of Numerators as per given numbers 27/791, 674/560, 735/258 is

LCM of Numerators i.e. for 27,674,735 is 4458510

GCF of denominators i.e. for 791,560,258 is 1.

Thus, LCM of Fractions is 4458510.Finally, LCM of Fractions for 27/791, 674/560, 735/258 is 4458510.