Least Common Multiple of 584/828, 514/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/828, 514/665 quickly i.e. 150088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/828, 514/665 is 150088.

LCM(584/828, 514/665) = 150088

LCM of 584/828, 514/665

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 584/828,514/665

Given numbers are 584/828,514/665

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 584,514

Least Common Multiple of Numerators i.e. LCM of 584,514 is 150088.

GCF of Denominators means GCF of 828,665 as per the given fractions.

GCF of 828,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,514

LCM of Fractions 584/828,514/665 is 150088

2 584, 514
292, 257

∴ So the LCM of the given numbers is 2 x 292 x 257 = 150088

Least Common Multiple of 584,514 with GCF Formula

Least Common Multiple of 584,514 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 584,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,514) = 2

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

GCF(584,514) x common factors =2 x 1 = 2

LCM(584,514) = ( 584 × 514 ) / 2

LCM(584,514) = 300176 / 2

LCM(584,514) = 150088


Lets's calculate GCF of 828,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150088/1

Therefore the LCM of Fractions 584/828,514/665 is 150088

Greatest Common Factor of 828,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,665 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 828,665 . The biggest common factor number is the GCF number.
So the greatest common factor 828,665 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 584/828, 514/665

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 584/828, 514/665?

Answer: LCM of Numerators as per given numbers 584/828, 514/665 is

LCM of Numerators i.e. for 584,514 is 150088

GCF of denominators i.e. for 828,665 is 1.

Thus, LCM of Fractions is 150088.Finally, LCM of Fractions for 584/828, 514/665 is 150088.