Least Common Multiple of 998/515, 8440/1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/515, 8440/1144 quickly i.e. 4211560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/515, 8440/1144 is 4211560.

LCM(998/515, 8440/1144) = 4211560

LCM of 998/515, 8440/1144

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 998/515,8440/1144

Given numbers are 998/515,8440/1144

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 998,8440

Least Common Multiple of Numerators i.e. LCM of 998,8440 is 4211560.

GCF of Denominators means GCF of 515,1144 as per the given fractions.

GCF of 515,1144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,8440

LCM of Fractions 998/515,8440/1144 is 4211560

2 998, 8440
499, 4220

∴ So the LCM of the given numbers is 2 x 499 x 4220 = 4211560

Least Common Multiple of 998,8440 with GCF Formula

Least Common Multiple of 998,8440 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 998,8440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,8440) = 2

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

GCF(998,8440) x common factors =2 x 1 = 2

LCM(998,8440) = ( 998 × 8440 ) / 2

LCM(998,8440) = 8423120 / 2

LCM(998,8440) = 4211560


Lets's calculate GCF of 515,1144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4211560/1

Therefore the LCM of Fractions 998/515,8440/1144 is 4211560

Greatest Common Factor of 515,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,1144 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 515,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 515,1144 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 998/515, 8440/1144

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 998/515, 8440/1144?

Answer: LCM of Numerators as per given numbers 998/515, 8440/1144 is

LCM of Numerators i.e. for 998,8440 is 4211560

GCF of denominators i.e. for 515,1144 is 1.

Thus, LCM of Fractions is 4211560.Finally, LCM of Fractions for 998/515, 8440/1144 is 4211560.