Least Common Multiple of 992/352, 668/844, 593/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/352, 668/844, 593/164 quickly i.e. 24559688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/352, 668/844, 593/164 is 24559688.

LCM(992/352, 668/844, 593/164) = 24559688

LCM of 992/352, 668/844, 593/164

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 992/352,668/844,593/164

Given numbers are 992/352,668/844,593/164

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 992,668,593

Least Common Multiple of Numerators i.e. LCM of 992,668,593 is 98238752.

GCF of Denominators means GCF of 352,844,164 as per the given fractions.

GCF of 352,844,164 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,668,593

LCM of Fractions 992/352,668/844,593/164 is 24559688

2 992, 668, 593
2 496, 334, 593
248, 167, 593

∴ So the LCM of the given numbers is 2 x 2 x 248 x 167 x 593 = 98238752

Least Common Multiple of 992,668,593 with GCF Formula

Least Common Multiple of 992,668,593 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 992,668,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,668,593) = 1

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

GCF(992,668,593) x common factors =1 x 4 = 4

LCM(992,668,593) = ( 992 × 668 × 593 ) / 4

LCM(992,668,593) = 392955008 / 4

LCM(992,668,593) = 98238752


Lets's calculate GCF of 352,844,164

2 352, 844, 164
2 176, 422, 82
88, 211, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98238752/4

Therefore the LCM of Fractions 992/352,668/844,593/164 is 24559688

Greatest Common Factor of 352,844,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,844,164 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 352,844,164 . The biggest common factor number is the GCF number.
So the greatest common factor 352,844,164 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 992/352, 668/844, 593/164

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 992/352, 668/844, 593/164?

Answer: LCM of Numerators as per given numbers 992/352, 668/844, 593/164 is

LCM of Numerators i.e. for 992,668,593 is 98238752

GCF of denominators i.e. for 352,844,164 is 4.

Thus, LCM of Fractions is 24559688.Finally, LCM of Fractions for 992/352, 668/844, 593/164 is 24559688.