Least Common Multiple of 996/688, 295/340, 737/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/688, 295/340, 737/724 quickly i.e. 54136335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/688, 295/340, 737/724 is 54136335.

LCM(996/688, 295/340, 737/724) = 54136335

LCM of 996/688, 295/340, 737/724

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 996/688,295/340,737/724

Given numbers are 996/688,295/340,737/724

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 996,295,737

Least Common Multiple of Numerators i.e. LCM of 996,295,737 is 216545340.

GCF of Denominators means GCF of 688,340,724 as per the given fractions.

GCF of 688,340,724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,295,737

LCM of Fractions 996/688,295/340,737/724 is 54136335

Given numbers has no common factors except 1. So, there LCM is their product i.e 216545340

Least Common Multiple of 996,295,737 with GCF Formula

Least Common Multiple of 996,295,737 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 996,295,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,295,737) = 1

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

GCF(996,295,737) x common factors =1 x 1 = 1

LCM(996,295,737) = ( 996 × 295 × 737 ) / 1

LCM(996,295,737) = 216545340 / 1

LCM(996,295,737) = 216545340


Lets's calculate GCF of 688,340,724

2 688, 340, 724
2 344, 170, 362
172, 85, 181

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216545340/4

Therefore the LCM of Fractions 996/688,295/340,737/724 is 54136335

Greatest Common Factor of 688,340,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,340,724 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 688,340,724 . The biggest common factor number is the GCF number.
So the greatest common factor 688,340,724 is 4.


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 996/688, 295/340, 737/724

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 996/688, 295/340, 737/724?

Answer: LCM of Numerators as per given numbers 996/688, 295/340, 737/724 is

LCM of Numerators i.e. for 996,295,737 is 216545340

GCF of denominators i.e. for 688,340,724 is 4.

Thus, LCM of Fractions is 54136335.Finally, LCM of Fractions for 996/688, 295/340, 737/724 is 54136335.