Least Common Multiple of 2714/585, 9553/6149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2714/585, 9553/6149 quickly i.e. 25926842/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2714/585, 9553/6149 is 25926842/13.

LCM(2714/585, 9553/6149) = 25926842/13

LCM of 2714/585, 9553/6149

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 2714/585,9553/6149

Given numbers are 2714/585,9553/6149

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 2714,9553

Least Common Multiple of Numerators i.e. LCM of 2714,9553 is 25926842.

GCF of Denominators means GCF of 585,6149 as per the given fractions.

GCF of 585,6149 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2714,9553

LCM of Fractions 2714/585,9553/6149 is 25926842/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 25926842

Least Common Multiple of 2714,9553 with GCF Formula

Least Common Multiple of 2714,9553 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 2714,9553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2714,9553) = 1

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

GCF(2714,9553) x common factors =1 x 1 = 1

LCM(2714,9553) = ( 2714 × 9553 ) / 1

LCM(2714,9553) = 25926842 / 1

LCM(2714,9553) = 25926842


Lets's calculate GCF of 585,6149

13 585, 6149
45, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25926842/13

Therefore the LCM of Fractions 2714/585,9553/6149 is 25926842/13

Greatest Common Factor of 585,6149 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,6149 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors 585,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 585,6149 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 2714/585, 9553/6149

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 2714/585, 9553/6149?

Answer: LCM of Numerators as per given numbers 2714/585, 9553/6149 is

LCM of Numerators i.e. for 2714,9553 is 25926842

GCF of denominators i.e. for 585,6149 is 13.

Thus, LCM of Fractions is 25926842/13.Finally, LCM of Fractions for 2714/585, 9553/6149 is 25926842/13.