Least Common Multiple of 688/322, 5260/2849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/322, 5260/2849 quickly i.e. 904720/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/322, 5260/2849 is 904720/7.

LCM(688/322, 5260/2849) = 904720/7

LCM of 688/322, 5260/2849

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 688/322,5260/2849

Given numbers are 688/322,5260/2849

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 688,5260

Least Common Multiple of Numerators i.e. LCM of 688,5260 is 904720.

GCF of Denominators means GCF of 322,2849 as per the given fractions.

GCF of 322,2849 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,5260

LCM of Fractions 688/322,5260/2849 is 904720/7

2 688, 5260
2 344, 2630
172, 1315

∴ So the LCM of the given numbers is 2 x 2 x 172 x 1315 = 904720

Least Common Multiple of 688,5260 with GCF Formula

Least Common Multiple of 688,5260 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 688,5260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,5260) = 4

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

GCF(688,5260) x common factors =4 x 1 = 4

LCM(688,5260) = ( 688 × 5260 ) / 4

LCM(688,5260) = 3618880 / 4

LCM(688,5260) = 904720


Lets's calculate GCF of 322,2849

7 322, 2849
46, 407

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904720/7

Therefore the LCM of Fractions 688/322,5260/2849 is 904720/7

Greatest Common Factor of 322,2849 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,2849 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1,7,11,37,77,259,407,2849

Greatest Common Factor

We found the factors 322,2849 . The biggest common factor number is the GCF number.
So the greatest common factor 322,2849 is 7.


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 688/322, 5260/2849

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 688/322, 5260/2849?

Answer: LCM of Numerators as per given numbers 688/322, 5260/2849 is

LCM of Numerators i.e. for 688,5260 is 904720

GCF of denominators i.e. for 322,2849 is 7.

Thus, LCM of Fractions is 904720/7.Finally, LCM of Fractions for 688/322, 5260/2849 is 904720/7.