Least Common Multiple of 15/798, 266/735, 685/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/798, 266/735, 685/741 quickly i.e. 182210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/798, 266/735, 685/741 is 182210.

LCM(15/798, 266/735, 685/741) = 182210

LCM of 15/798, 266/735, 685/741

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 15/798,266/735,685/741

Given numbers are 15/798,266/735,685/741

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 15,266,685

Least Common Multiple of Numerators i.e. LCM of 15,266,685 is 546630.

GCF of Denominators means GCF of 798,735,741 as per the given fractions.

GCF of 798,735,741 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,266,685

LCM of Fractions 15/798,266/735,685/741 is 182210

5 15, 266, 685
3, 266, 137

∴ So the LCM of the given numbers is 5 x 3 x 266 x 137 = 546630

Least Common Multiple of 15,266,685 with GCF Formula

Least Common Multiple of 15,266,685 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 15,266,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,266,685) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(15,266,685) x common factors =1 x 5 = 5

LCM(15,266,685) = ( 15 × 266 × 685 ) / 5

LCM(15,266,685) = 2733150 / 5

LCM(15,266,685) = 546630


Lets's calculate GCF of 798,735,741

3 798, 735, 741
266, 245, 247

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546630/3

Therefore the LCM of Fractions 15/798,266/735,685/741 is 182210

Greatest Common Factor of 798,735,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,735,741 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 798,735,741 . The biggest common factor number is the GCF number.
So the greatest common factor 798,735,741 is 3.


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 15/798, 266/735, 685/741

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 15/798, 266/735, 685/741?

Answer: LCM of Numerators as per given numbers 15/798, 266/735, 685/741 is

LCM of Numerators i.e. for 15,266,685 is 546630

GCF of denominators i.e. for 798,735,741 is 3.

Thus, LCM of Fractions is 182210.Finally, LCM of Fractions for 15/798, 266/735, 685/741 is 182210.