Least Common Multiple of 98/18, 609/20, 935/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/18, 609/20, 935/908 quickly i.e. 3985905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/18, 609/20, 935/908 is 3985905.

LCM(98/18, 609/20, 935/908) = 3985905

LCM of 98/18, 609/20, 935/908

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 98/18,609/20,935/908

Given numbers are 98/18,609/20,935/908

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 98,609,935

Least Common Multiple of Numerators i.e. LCM of 98,609,935 is 7971810.

GCF of Denominators means GCF of 18,20,908 as per the given fractions.

GCF of 18,20,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,609,935

LCM of Fractions 98/18,609/20,935/908 is 3985905

7 98, 609, 935
14, 87, 935

∴ So the LCM of the given numbers is 7 x 14 x 87 x 935 = 7971810

Least Common Multiple of 98,609,935 with GCF Formula

Least Common Multiple of 98,609,935 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 98,609,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,609,935) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(98,609,935) x common factors =1 x 7 = 7

LCM(98,609,935) = ( 98 × 609 × 935 ) / 7

LCM(98,609,935) = 55802670 / 7

LCM(98,609,935) = 7971810


Lets's calculate GCF of 18,20,908

2 18, 20, 908
9, 10, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7971810/2

Therefore the LCM of Fractions 98/18,609/20,935/908 is 3985905

Greatest Common Factor of 18,20,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,20,908 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 18,20,908 . The biggest common factor number is the GCF number.
So the greatest common factor 18,20,908 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/18, 609/20, 935/908

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 98/18, 609/20, 935/908?

Answer: LCM of Numerators as per given numbers 98/18, 609/20, 935/908 is

LCM of Numerators i.e. for 98,609,935 is 7971810

GCF of denominators i.e. for 18,20,908 is 2.

Thus, LCM of Fractions is 3985905.Finally, LCM of Fractions for 98/18, 609/20, 935/908 is 3985905.