Least Common Multiple of 459/338, 6984/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/338, 6984/998 quickly i.e. 178092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/338, 6984/998 is 178092.

LCM(459/338, 6984/998) = 178092

LCM of 459/338, 6984/998

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 459/338,6984/998

Given numbers are 459/338,6984/998

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 459,6984

Least Common Multiple of Numerators i.e. LCM of 459,6984 is 356184.

GCF of Denominators means GCF of 338,998 as per the given fractions.

GCF of 338,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,6984

LCM of Fractions 459/338,6984/998 is 178092

3 459, 6984
3 153, 2328
51, 776

∴ So the LCM of the given numbers is 3 x 3 x 51 x 776 = 356184

Least Common Multiple of 459,6984 with GCF Formula

Least Common Multiple of 459,6984 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 459,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,6984) = 9

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

GCF(459,6984) x common factors =9 x 1 = 9

LCM(459,6984) = ( 459 × 6984 ) / 9

LCM(459,6984) = 3205656 / 9

LCM(459,6984) = 356184


Lets's calculate GCF of 338,998

2 338, 998
169, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356184/2

Therefore the LCM of Fractions 459/338,6984/998 is 178092

Greatest Common Factor of 338,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,998 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 998

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

1,2,499,998

Greatest Common Factor

We found the factors 338,998 . The biggest common factor number is the GCF number.
So the greatest common factor 338,998 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 459/338, 6984/998

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 459/338, 6984/998?

Answer: LCM of Numerators as per given numbers 459/338, 6984/998 is

LCM of Numerators i.e. for 459,6984 is 356184

GCF of denominators i.e. for 338,998 is 2.

Thus, LCM of Fractions is 178092.Finally, LCM of Fractions for 459/338, 6984/998 is 178092.