Least Common Multiple of 849/78, 405/7267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/78, 405/7267 quickly i.e. 114615/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/78, 405/7267 is 114615/13.

LCM(849/78, 405/7267) = 114615/13

LCM of 849/78, 405/7267

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 849/78,405/7267

Given numbers are 849/78,405/7267

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 849,405

Least Common Multiple of Numerators i.e. LCM of 849,405 is 114615.

GCF of Denominators means GCF of 78,7267 as per the given fractions.

GCF of 78,7267 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,405

LCM of Fractions 849/78,405/7267 is 114615/13

3 849, 405
283, 135

∴ So the LCM of the given numbers is 3 x 283 x 135 = 114615

Least Common Multiple of 849,405 with GCF Formula

Least Common Multiple of 849,405 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 849,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,405) = 3

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

GCF(849,405) x common factors =3 x 1 = 3

LCM(849,405) = ( 849 × 405 ) / 3

LCM(849,405) = 343845 / 3

LCM(849,405) = 114615


Lets's calculate GCF of 78,7267

13 78, 7267
6, 559

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114615/13

Therefore the LCM of Fractions 849/78,405/7267 is 114615/13

Greatest Common Factor of 78,7267 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,7267 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1,13,43,169,559,7267

Greatest Common Factor

We found the factors 78,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7267 is 13.


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 849/78, 405/7267

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 849/78, 405/7267?

Answer: LCM of Numerators as per given numbers 849/78, 405/7267 is

LCM of Numerators i.e. for 849,405 is 114615

GCF of denominators i.e. for 78,7267 is 13.

Thus, LCM of Fractions is 114615/13.Finally, LCM of Fractions for 849/78, 405/7267 is 114615/13.