Least Common Multiple of 274/993, 5498/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/993, 5498/994 quickly i.e. 753226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/993, 5498/994 is 753226.

LCM(274/993, 5498/994) = 753226

LCM of 274/993, 5498/994

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 274/993,5498/994

Given numbers are 274/993,5498/994

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 274,5498

Least Common Multiple of Numerators i.e. LCM of 274,5498 is 753226.

GCF of Denominators means GCF of 993,994 as per the given fractions.

GCF of 993,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,5498

LCM of Fractions 274/993,5498/994 is 753226

2 274, 5498
137, 2749

∴ So the LCM of the given numbers is 2 x 137 x 2749 = 753226

Least Common Multiple of 274,5498 with GCF Formula

Least Common Multiple of 274,5498 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 274,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,5498) = 2

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

GCF(274,5498) x common factors =2 x 1 = 2

LCM(274,5498) = ( 274 × 5498 ) / 2

LCM(274,5498) = 1506452 / 2

LCM(274,5498) = 753226


Lets's calculate GCF of 993,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753226/1

Therefore the LCM of Fractions 274/993,5498/994 is 753226

Greatest Common Factor of 993,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,994 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 993,994 . The biggest common factor number is the GCF number.
So the greatest common factor 993,994 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 274/993, 5498/994

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 274/993, 5498/994?

Answer: LCM of Numerators as per given numbers 274/993, 5498/994 is

LCM of Numerators i.e. for 274,5498 is 753226

GCF of denominators i.e. for 993,994 is 1.

Thus, LCM of Fractions is 753226.Finally, LCM of Fractions for 274/993, 5498/994 is 753226.