Least Common Multiple of 27/647, 259/702, 735/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/647, 259/702, 735/362 quickly i.e. 244755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/647, 259/702, 735/362 is 244755.

LCM(27/647, 259/702, 735/362) = 244755

LCM of 27/647, 259/702, 735/362

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 27/647,259/702,735/362

Given numbers are 27/647,259/702,735/362

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 27,259,735

Least Common Multiple of Numerators i.e. LCM of 27,259,735 is 244755.

GCF of Denominators means GCF of 647,702,362 as per the given fractions.

GCF of 647,702,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,259,735

LCM of Fractions 27/647,259/702,735/362 is 244755

3 27, 259, 735
7 9, 259, 245
9, 37, 35

∴ So the LCM of the given numbers is 3 x 7 x 9 x 37 x 35 = 244755

Least Common Multiple of 27,259,735 with GCF Formula

Least Common Multiple of 27,259,735 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 27,259,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,259,735) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(27,259,735) x common factors =1 x 21 = 21

LCM(27,259,735) = ( 27 × 259 × 735 ) / 21

LCM(27,259,735) = 5139855 / 21

LCM(27,259,735) = 244755


Lets's calculate GCF of 647,702,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244755/1

Therefore the LCM of Fractions 27/647,259/702,735/362 is 244755

Greatest Common Factor of 647,702,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,702,362 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 647,702,362 . The biggest common factor number is the GCF number.
So the greatest common factor 647,702,362 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 27/647, 259/702, 735/362

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 27/647, 259/702, 735/362?

Answer: LCM of Numerators as per given numbers 27/647, 259/702, 735/362 is

LCM of Numerators i.e. for 27,259,735 is 244755

GCF of denominators i.e. for 647,702,362 is 1.

Thus, LCM of Fractions is 244755.Finally, LCM of Fractions for 27/647, 259/702, 735/362 is 244755.