Least Common Multiple of 32/398, 550/484, 582/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/398, 550/484, 582/694 quickly i.e. 1280400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/398, 550/484, 582/694 is 1280400.

LCM(32/398, 550/484, 582/694) = 1280400

LCM of 32/398, 550/484, 582/694

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 32/398,550/484,582/694

Given numbers are 32/398,550/484,582/694

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 32,550,582

Least Common Multiple of Numerators i.e. LCM of 32,550,582 is 2560800.

GCF of Denominators means GCF of 398,484,694 as per the given fractions.

GCF of 398,484,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,550,582

LCM of Fractions 32/398,550/484,582/694 is 1280400

2 32, 550, 582
16, 275, 291

∴ So the LCM of the given numbers is 2 x 16 x 275 x 291 = 2560800

Least Common Multiple of 32,550,582 with GCF Formula

Least Common Multiple of 32,550,582 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 32,550,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,550,582) = 2

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

GCF(32,550,582) x common factors =2 x 2 = 4

LCM(32,550,582) = ( 32 × 550 × 582 ) / 4

LCM(32,550,582) = 10243200 / 4

LCM(32,550,582) = 2560800


Lets's calculate GCF of 398,484,694

2 398, 484, 694
199, 242, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2560800/2

Therefore the LCM of Fractions 32/398,550/484,582/694 is 1280400

Greatest Common Factor of 398,484,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,484,694 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 398,484,694 . The biggest common factor number is the GCF number.
So the greatest common factor 398,484,694 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 32/398, 550/484, 582/694

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 32/398, 550/484, 582/694?

Answer: LCM of Numerators as per given numbers 32/398, 550/484, 582/694 is

LCM of Numerators i.e. for 32,550,582 is 2560800

GCF of denominators i.e. for 398,484,694 is 2.

Thus, LCM of Fractions is 1280400.Finally, LCM of Fractions for 32/398, 550/484, 582/694 is 1280400.