Least Common Multiple of 382/98, 747/4430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/98, 747/4430 quickly i.e. 142677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/98, 747/4430 is 142677.

LCM(382/98, 747/4430) = 142677

LCM of 382/98, 747/4430

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 382/98,747/4430

Given numbers are 382/98,747/4430

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 382,747

Least Common Multiple of Numerators i.e. LCM of 382,747 is 285354.

GCF of Denominators means GCF of 98,4430 as per the given fractions.

GCF of 98,4430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,747

LCM of Fractions 382/98,747/4430 is 142677

Given numbers has no common factors except 1. So, there LCM is their product i.e 285354

Least Common Multiple of 382,747 with GCF Formula

Least Common Multiple of 382,747 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 382,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,747) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(382,747) x common factors =1 x 1 = 1

LCM(382,747) = ( 382 × 747 ) / 1

LCM(382,747) = 285354 / 1

LCM(382,747) = 285354


Lets's calculate GCF of 98,4430

2 98, 4430
49, 2215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285354/2

Therefore the LCM of Fractions 382/98,747/4430 is 142677

Greatest Common Factor of 98,4430 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,4430 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 4430

List of positive integer factors of 4430 that divides 4430 without a remainder.

1,2,5,10,443,886,2215,4430

Greatest Common Factor

We found the factors 98,4430 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4430 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 382/98, 747/4430

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 382/98, 747/4430?

Answer: LCM of Numerators as per given numbers 382/98, 747/4430 is

LCM of Numerators i.e. for 382,747 is 285354

GCF of denominators i.e. for 98,4430 is 2.

Thus, LCM of Fractions is 142677.Finally, LCM of Fractions for 382/98, 747/4430 is 142677.