Least Common Multiple of 2838/624, 1722/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2838/624, 1722/325 quickly i.e. 814506/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2838/624, 1722/325 is 814506/13.

LCM(2838/624, 1722/325) = 814506/13

LCM of 2838/624, 1722/325

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 2838/624,1722/325

Given numbers are 2838/624,1722/325

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 2838,1722

Least Common Multiple of Numerators i.e. LCM of 2838,1722 is 814506.

GCF of Denominators means GCF of 624,325 as per the given fractions.

GCF of 624,325 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2838,1722

LCM of Fractions 2838/624,1722/325 is 814506/13

2 2838, 1722
3 1419, 861
473, 287

∴ So the LCM of the given numbers is 2 x 3 x 473 x 287 = 814506

Least Common Multiple of 2838,1722 with GCF Formula

Least Common Multiple of 2838,1722 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 2838,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2838,1722) = 6

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

GCF(2838,1722) x common factors =6 x 1 = 6

LCM(2838,1722) = ( 2838 × 1722 ) / 6

LCM(2838,1722) = 4887036 / 6

LCM(2838,1722) = 814506


Lets's calculate GCF of 624,325

13 624, 325
48, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 814506/13

Therefore the LCM of Fractions 2838/624,1722/325 is 814506/13

Greatest Common Factor of 624,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,325 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 624,325 . The biggest common factor number is the GCF number.
So the greatest common factor 624,325 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 2838/624, 1722/325

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 2838/624, 1722/325?

Answer: LCM of Numerators as per given numbers 2838/624, 1722/325 is

LCM of Numerators i.e. for 2838,1722 is 814506

GCF of denominators i.e. for 624,325 is 13.

Thus, LCM of Fractions is 814506/13.Finally, LCM of Fractions for 2838/624, 1722/325 is 814506/13.