Least Common Multiple of 18/98, 106/89, 869/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/98, 106/89, 869/683 quickly i.e. 829026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/98, 106/89, 869/683 is 829026.

LCM(18/98, 106/89, 869/683) = 829026

LCM of 18/98, 106/89, 869/683

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 18/98,106/89,869/683

Given numbers are 18/98,106/89,869/683

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 18,106,869

Least Common Multiple of Numerators i.e. LCM of 18,106,869 is 829026.

GCF of Denominators means GCF of 98,89,683 as per the given fractions.

GCF of 98,89,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,106,869

LCM of Fractions 18/98,106/89,869/683 is 829026

2 18, 106, 869
9, 53, 869

∴ So the LCM of the given numbers is 2 x 9 x 53 x 869 = 829026

Least Common Multiple of 18,106,869 with GCF Formula

Least Common Multiple of 18,106,869 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 18,106,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,106,869) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,106,869) x common factors =1 x 2 = 2

LCM(18,106,869) = ( 18 × 106 × 869 ) / 2

LCM(18,106,869) = 1658052 / 2

LCM(18,106,869) = 829026


Lets's calculate GCF of 98,89,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829026/1

Therefore the LCM of Fractions 18/98,106/89,869/683 is 829026

Greatest Common Factor of 98,89,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,89,683 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 89

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

1,89

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 98,89,683 . The biggest common factor number is the GCF number.
So the greatest common factor 98,89,683 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 18/98, 106/89, 869/683

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 18/98, 106/89, 869/683?

Answer: LCM of Numerators as per given numbers 18/98, 106/89, 869/683 is

LCM of Numerators i.e. for 18,106,869 is 829026

GCF of denominators i.e. for 98,89,683 is 1.

Thus, LCM of Fractions is 829026.Finally, LCM of Fractions for 18/98, 106/89, 869/683 is 829026.