Least Common Multiple of 213/998, 8917/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/998, 8917/742 quickly i.e. 1899321/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/998, 8917/742 is 1899321/2.

LCM(213/998, 8917/742) = 1899321/2

LCM of 213/998, 8917/742

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 213/998,8917/742

Given numbers are 213/998,8917/742

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 213,8917

Least Common Multiple of Numerators i.e. LCM of 213,8917 is 1899321.

GCF of Denominators means GCF of 998,742 as per the given fractions.

GCF of 998,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,8917

LCM of Fractions 213/998,8917/742 is 1899321/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1899321

Least Common Multiple of 213,8917 with GCF Formula

Least Common Multiple of 213,8917 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 213,8917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,8917) = 1

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

GCF(213,8917) x common factors =1 x 1 = 1

LCM(213,8917) = ( 213 × 8917 ) / 1

LCM(213,8917) = 1899321 / 1

LCM(213,8917) = 1899321


Lets's calculate GCF of 998,742

2 998, 742
499, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1899321/2

Therefore the LCM of Fractions 213/998,8917/742 is 1899321/2

Greatest Common Factor of 998,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,742 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 998,742 . The biggest common factor number is the GCF number.
So the greatest common factor 998,742 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 213/998, 8917/742

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 213/998, 8917/742?

Answer: LCM of Numerators as per given numbers 213/998, 8917/742 is

LCM of Numerators i.e. for 213,8917 is 1899321

GCF of denominators i.e. for 998,742 is 2.

Thus, LCM of Fractions is 1899321/2.Finally, LCM of Fractions for 213/998, 8917/742 is 1899321/2.