Least Common Multiple of 8982/89, 3618/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8982/89, 3618/385 quickly i.e. 1805382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8982/89, 3618/385 is 1805382.

LCM(8982/89, 3618/385) = 1805382

LCM of 8982/89, 3618/385

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 8982/89,3618/385

Given numbers are 8982/89,3618/385

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 8982,3618

Least Common Multiple of Numerators i.e. LCM of 8982,3618 is 1805382.

GCF of Denominators means GCF of 89,385 as per the given fractions.

GCF of 89,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8982,3618

LCM of Fractions 8982/89,3618/385 is 1805382

2 8982, 3618
3 4491, 1809
3 1497, 603
499, 201

∴ So the LCM of the given numbers is 2 x 3 x 3 x 499 x 201 = 1805382

Least Common Multiple of 8982,3618 with GCF Formula

Least Common Multiple of 8982,3618 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 8982,3618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8982,3618) = 18

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

GCF(8982,3618) x common factors =18 x 1 = 18

LCM(8982,3618) = ( 8982 × 3618 ) / 18

LCM(8982,3618) = 32496876 / 18

LCM(8982,3618) = 1805382


Lets's calculate GCF of 89,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1805382/1

Therefore the LCM of Fractions 8982/89,3618/385 is 1805382

Greatest Common Factor of 89,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,385 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 89,385 . The biggest common factor number is the GCF number.
So the greatest common factor 89,385 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8982/89, 3618/385

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 8982/89, 3618/385?

Answer: LCM of Numerators as per given numbers 8982/89, 3618/385 is

LCM of Numerators i.e. for 8982,3618 is 1805382

GCF of denominators i.e. for 89,385 is 1.

Thus, LCM of Fractions is 1805382.Finally, LCM of Fractions for 8982/89, 3618/385 is 1805382.