Least Common Multiple of 992/32, 585/98, 674/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/32, 585/98, 674/401 quickly i.e. 195567840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/32, 585/98, 674/401 is 195567840.

LCM(992/32, 585/98, 674/401) = 195567840

LCM of 992/32, 585/98, 674/401

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 992/32,585/98,674/401

Given numbers are 992/32,585/98,674/401

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 992,585,674

Least Common Multiple of Numerators i.e. LCM of 992,585,674 is 195567840.

GCF of Denominators means GCF of 32,98,401 as per the given fractions.

GCF of 32,98,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,585,674

LCM of Fractions 992/32,585/98,674/401 is 195567840

2 992, 585, 674
496, 585, 337

∴ So the LCM of the given numbers is 2 x 496 x 585 x 337 = 195567840

Least Common Multiple of 992,585,674 with GCF Formula

Least Common Multiple of 992,585,674 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 992,585,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,585,674) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(992,585,674) x common factors =1 x 2 = 2

LCM(992,585,674) = ( 992 × 585 × 674 ) / 2

LCM(992,585,674) = 391135680 / 2

LCM(992,585,674) = 195567840


Lets's calculate GCF of 32,98,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195567840/1

Therefore the LCM of Fractions 992/32,585/98,674/401 is 195567840

Greatest Common Factor of 32,98,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,98,401 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 98

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

1,2,7,14,49,98

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 32,98,401 . The biggest common factor number is the GCF number.
So the greatest common factor 32,98,401 is 1.


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 992/32, 585/98, 674/401

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 992/32, 585/98, 674/401?

Answer: LCM of Numerators as per given numbers 992/32, 585/98, 674/401 is

LCM of Numerators i.e. for 992,585,674 is 195567840

GCF of denominators i.e. for 32,98,401 is 1.

Thus, LCM of Fractions is 195567840.Finally, LCM of Fractions for 992/32, 585/98, 674/401 is 195567840.