Least Common Multiple of 992/96, 282/93, 668/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/96, 282/93, 668/981 quickly i.e. 7786208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/96, 282/93, 668/981 is 7786208.

LCM(992/96, 282/93, 668/981) = 7786208

LCM of 992/96, 282/93, 668/981

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 992/96,282/93,668/981

Given numbers are 992/96,282/93,668/981

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 992,282,668

Least Common Multiple of Numerators i.e. LCM of 992,282,668 is 23358624.

GCF of Denominators means GCF of 96,93,981 as per the given fractions.

GCF of 96,93,981 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,282,668

LCM of Fractions 992/96,282/93,668/981 is 7786208

2 992, 282, 668
2 496, 141, 334
248, 141, 167

∴ So the LCM of the given numbers is 2 x 2 x 248 x 141 x 167 = 23358624

Least Common Multiple of 992,282,668 with GCF Formula

Least Common Multiple of 992,282,668 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 992,282,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,282,668) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(992,282,668) x common factors =2 x 4 = 8

LCM(992,282,668) = ( 992 × 282 × 668 ) / 8

LCM(992,282,668) = 186868992 / 8

LCM(992,282,668) = 23358624


Lets's calculate GCF of 96,93,981

3 96, 93, 981
32, 31, 327

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23358624/3

Therefore the LCM of Fractions 992/96,282/93,668/981 is 7786208

Greatest Common Factor of 96,93,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,93,981 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 96,93,981 . The biggest common factor number is the GCF number.
So the greatest common factor 96,93,981 is 3.


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 992/96, 282/93, 668/981

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 992/96, 282/93, 668/981?

Answer: LCM of Numerators as per given numbers 992/96, 282/93, 668/981 is

LCM of Numerators i.e. for 992,282,668 is 23358624

GCF of denominators i.e. for 96,93,981 is 3.

Thus, LCM of Fractions is 7786208.Finally, LCM of Fractions for 992/96, 282/93, 668/981 is 7786208.