Least Common Multiple of 735/92, 2268/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/92, 2268/860 quickly i.e. 19845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/92, 2268/860 is 19845.

LCM(735/92, 2268/860) = 19845

LCM of 735/92, 2268/860

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 735/92,2268/860

Given numbers are 735/92,2268/860

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 735,2268

Least Common Multiple of Numerators i.e. LCM of 735,2268 is 79380.

GCF of Denominators means GCF of 92,860 as per the given fractions.

GCF of 92,860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,2268

LCM of Fractions 735/92,2268/860 is 19845

3 735, 2268
7 245, 756
35, 108

∴ So the LCM of the given numbers is 3 x 7 x 35 x 108 = 79380

Least Common Multiple of 735,2268 with GCF Formula

Least Common Multiple of 735,2268 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 735,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,2268) = 21

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

GCF(735,2268) x common factors =21 x 1 = 21

LCM(735,2268) = ( 735 × 2268 ) / 21

LCM(735,2268) = 1666980 / 21

LCM(735,2268) = 79380


Lets's calculate GCF of 92,860

2 92, 860
2 46, 430
23, 215

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79380/4

Therefore the LCM of Fractions 735/92,2268/860 is 19845

Greatest Common Factor of 92,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,860 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 92,860 . The biggest common factor number is the GCF number.
So the greatest common factor 92,860 is 4.


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 735/92, 2268/860

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 735/92, 2268/860?

Answer: LCM of Numerators as per given numbers 735/92, 2268/860 is

LCM of Numerators i.e. for 735,2268 is 79380

GCF of denominators i.e. for 92,860 is 4.

Thus, LCM of Fractions is 19845.Finally, LCM of Fractions for 735/92, 2268/860 is 19845.