Least Common Multiple of 98/18, 632/35, 158/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/18, 632/35, 158/718 quickly i.e. 30968 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, 632/35, 158/718 is 30968.

LCM(98/18, 632/35, 158/718) = 30968

LCM of 98/18, 632/35, 158/718

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 98/18,632/35,158/718

Given numbers are 98/18,632/35,158/718

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 98,632,158

Least Common Multiple of Numerators i.e. LCM of 98,632,158 is 30968.

GCF of Denominators means GCF of 18,35,718 as per the given fractions.

GCF of 18,35,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,632,158

LCM of Fractions 98/18,632/35,158/718 is 30968

2 98, 632, 158
79 49, 316, 79
49, 4, 1

∴ So the LCM of the given numbers is 2 x 79 x 49 x 4 x 1 = 30968

Least Common Multiple of 98,632,158 with GCF Formula

Least Common Multiple of 98,632,158 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 98,632,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,632,158) = 2

common factors(in case of two or more numbers have common factors) = 158

GCF(98,632,158) x common factors =2 x 158 = 316

LCM(98,632,158) = ( 98 × 632 × 158 ) / 316

LCM(98,632,158) = 9785888 / 316

LCM(98,632,158) = 30968


Lets's calculate GCF of 18,35,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30968/1

Therefore the LCM of Fractions 98/18,632/35,158/718 is 30968

Greatest Common Factor of 18,35,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,35,718 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 18,35,718 . The biggest common factor number is the GCF number.
So the greatest common factor 18,35,718 is 1.


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 98/18, 632/35, 158/718

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, 632/35, 158/718?

Answer: LCM of Numerators as per given numbers 98/18, 632/35, 158/718 is

LCM of Numerators i.e. for 98,632,158 is 30968

GCF of denominators i.e. for 18,35,718 is 1.

Thus, LCM of Fractions is 30968.Finally, LCM of Fractions for 98/18, 632/35, 158/718 is 30968.