Least Common Multiple of 698/54, 558/2415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/54, 558/2415 quickly i.e. 64914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/54, 558/2415 is 64914.

LCM(698/54, 558/2415) = 64914

LCM of 698/54, 558/2415

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 698/54,558/2415

Given numbers are 698/54,558/2415

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 698,558

Least Common Multiple of Numerators i.e. LCM of 698,558 is 194742.

GCF of Denominators means GCF of 54,2415 as per the given fractions.

GCF of 54,2415 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,558

LCM of Fractions 698/54,558/2415 is 64914

2 698, 558
349, 279

∴ So the LCM of the given numbers is 2 x 349 x 279 = 194742

Least Common Multiple of 698,558 with GCF Formula

Least Common Multiple of 698,558 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 698,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,558) = 2

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

GCF(698,558) x common factors =2 x 1 = 2

LCM(698,558) = ( 698 × 558 ) / 2

LCM(698,558) = 389484 / 2

LCM(698,558) = 194742


Lets's calculate GCF of 54,2415

3 54, 2415
18, 805

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194742/3

Therefore the LCM of Fractions 698/54,558/2415 is 64914

Greatest Common Factor of 54,2415 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,2415 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Greatest Common Factor

We found the factors 54,2415 . The biggest common factor number is the GCF number.
So the greatest common factor 54,2415 is 3.


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 698/54, 558/2415

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 698/54, 558/2415?

Answer: LCM of Numerators as per given numbers 698/54, 558/2415 is

LCM of Numerators i.e. for 698,558 is 194742

GCF of denominators i.e. for 54,2415 is 3.

Thus, LCM of Fractions is 64914.Finally, LCM of Fractions for 698/54, 558/2415 is 64914.