Least Common Multiple of 996/98, 176/82, 678/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/98, 176/82, 678/284 quickly i.e. 2476056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/98, 176/82, 678/284 is 2476056.

LCM(996/98, 176/82, 678/284) = 2476056

LCM of 996/98, 176/82, 678/284

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 996/98,176/82,678/284

Given numbers are 996/98,176/82,678/284

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 996,176,678

Least Common Multiple of Numerators i.e. LCM of 996,176,678 is 4952112.

GCF of Denominators means GCF of 98,82,284 as per the given fractions.

GCF of 98,82,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,176,678

LCM of Fractions 996/98,176/82,678/284 is 2476056

2 996, 176, 678
2 498, 88, 339
3 249, 44, 339
83, 44, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 44 x 113 = 4952112

Least Common Multiple of 996,176,678 with GCF Formula

Least Common Multiple of 996,176,678 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 996,176,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,176,678) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(996,176,678) x common factors =2 x 12 = 24

LCM(996,176,678) = ( 996 × 176 × 678 ) / 24

LCM(996,176,678) = 118850688 / 24

LCM(996,176,678) = 4952112


Lets's calculate GCF of 98,82,284

2 98, 82, 284
49, 41, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4952112/2

Therefore the LCM of Fractions 996/98,176/82,678/284 is 2476056

Greatest Common Factor of 98,82,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,82,284 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 98,82,284 . The biggest common factor number is the GCF number.
So the greatest common factor 98,82,284 is 2.


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 996/98, 176/82, 678/284

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 996/98, 176/82, 678/284?

Answer: LCM of Numerators as per given numbers 996/98, 176/82, 678/284 is

LCM of Numerators i.e. for 996,176,678 is 4952112

GCF of denominators i.e. for 98,82,284 is 2.

Thus, LCM of Fractions is 2476056.Finally, LCM of Fractions for 996/98, 176/82, 678/284 is 2476056.