Least Common Multiple of 2985/298, 8180/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2985/298, 8180/658 quickly i.e. 2441730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2985/298, 8180/658 is 2441730.

LCM(2985/298, 8180/658) = 2441730

LCM of 2985/298, 8180/658

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 2985/298,8180/658

Given numbers are 2985/298,8180/658

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 2985,8180

Least Common Multiple of Numerators i.e. LCM of 2985,8180 is 4883460.

GCF of Denominators means GCF of 298,658 as per the given fractions.

GCF of 298,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2985,8180

LCM of Fractions 2985/298,8180/658 is 2441730

5 2985, 8180
597, 1636

∴ So the LCM of the given numbers is 5 x 597 x 1636 = 4883460

Least Common Multiple of 2985,8180 with GCF Formula

Least Common Multiple of 2985,8180 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 2985,8180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2985,8180) = 5

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

GCF(2985,8180) x common factors =5 x 1 = 5

LCM(2985,8180) = ( 2985 × 8180 ) / 5

LCM(2985,8180) = 24417300 / 5

LCM(2985,8180) = 4883460


Lets's calculate GCF of 298,658

2 298, 658
149, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4883460/2

Therefore the LCM of Fractions 2985/298,8180/658 is 2441730

Greatest Common Factor of 298,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,658 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 298,658 . The biggest common factor number is the GCF number.
So the greatest common factor 298,658 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 2985/298, 8180/658

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 2985/298, 8180/658?

Answer: LCM of Numerators as per given numbers 2985/298, 8180/658 is

LCM of Numerators i.e. for 2985,8180 is 4883460

GCF of denominators i.e. for 298,658 is 2.

Thus, LCM of Fractions is 2441730.Finally, LCM of Fractions for 2985/298, 8180/658 is 2441730.