Least Common Multiple of 498/967, 2073/1838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/967, 2073/1838 quickly i.e. 344118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/967, 2073/1838 is 344118.

LCM(498/967, 2073/1838) = 344118

LCM of 498/967, 2073/1838

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 498/967,2073/1838

Given numbers are 498/967,2073/1838

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 498,2073

Least Common Multiple of Numerators i.e. LCM of 498,2073 is 344118.

GCF of Denominators means GCF of 967,1838 as per the given fractions.

GCF of 967,1838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,2073

LCM of Fractions 498/967,2073/1838 is 344118

3 498, 2073
166, 691

∴ So the LCM of the given numbers is 3 x 166 x 691 = 344118

Least Common Multiple of 498,2073 with GCF Formula

Least Common Multiple of 498,2073 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 498,2073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,2073) = 3

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

GCF(498,2073) x common factors =3 x 1 = 3

LCM(498,2073) = ( 498 × 2073 ) / 3

LCM(498,2073) = 1032354 / 3

LCM(498,2073) = 344118


Lets's calculate GCF of 967,1838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344118/1

Therefore the LCM of Fractions 498/967,2073/1838 is 344118

Greatest Common Factor of 967,1838 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,1838 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Greatest Common Factor

We found the factors 967,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 967,1838 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 498/967, 2073/1838

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 498/967, 2073/1838?

Answer: LCM of Numerators as per given numbers 498/967, 2073/1838 is

LCM of Numerators i.e. for 498,2073 is 344118

GCF of denominators i.e. for 967,1838 is 1.

Thus, LCM of Fractions is 344118.Finally, LCM of Fractions for 498/967, 2073/1838 is 344118.