Least Common Multiple of 25/984, 2734/5629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/984, 2734/5629 quickly i.e. 68350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/984, 2734/5629 is 68350.

LCM(25/984, 2734/5629) = 68350

LCM of 25/984, 2734/5629

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 25/984,2734/5629

Given numbers are 25/984,2734/5629

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 25,2734

Least Common Multiple of Numerators i.e. LCM of 25,2734 is 68350.

GCF of Denominators means GCF of 984,5629 as per the given fractions.

GCF of 984,5629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,2734

LCM of Fractions 25/984,2734/5629 is 68350

Given numbers has no common factors except 1. So, there LCM is their product i.e 68350

Least Common Multiple of 25,2734 with GCF Formula

Least Common Multiple of 25,2734 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 25,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,2734) = 1

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

GCF(25,2734) x common factors =1 x 1 = 1

LCM(25,2734) = ( 25 × 2734 ) / 1

LCM(25,2734) = 68350 / 1

LCM(25,2734) = 68350


Lets's calculate GCF of 984,5629

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68350/1

Therefore the LCM of Fractions 25/984,2734/5629 is 68350

Greatest Common Factor of 984,5629 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,5629 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1,13,433,5629

Greatest Common Factor

We found the factors 984,5629 . The biggest common factor number is the GCF number.
So the greatest common factor 984,5629 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/984, 2734/5629

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 25/984, 2734/5629?

Answer: LCM of Numerators as per given numbers 25/984, 2734/5629 is

LCM of Numerators i.e. for 25,2734 is 68350

GCF of denominators i.e. for 984,5629 is 1.

Thus, LCM of Fractions is 68350.Finally, LCM of Fractions for 25/984, 2734/5629 is 68350.