Least Common Multiple of 584/60, 458/21, 514/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/60, 458/21, 514/310 quickly i.e. 34370152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/60, 458/21, 514/310 is 34370152.

LCM(584/60, 458/21, 514/310) = 34370152

LCM of 584/60, 458/21, 514/310

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 584/60,458/21,514/310

Given numbers are 584/60,458/21,514/310

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 584,458,514

Least Common Multiple of Numerators i.e. LCM of 584,458,514 is 34370152.

GCF of Denominators means GCF of 60,21,310 as per the given fractions.

GCF of 60,21,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,458,514

LCM of Fractions 584/60,458/21,514/310 is 34370152

2 584, 458, 514
292, 229, 257

∴ So the LCM of the given numbers is 2 x 292 x 229 x 257 = 34370152

Least Common Multiple of 584,458,514 with GCF Formula

Least Common Multiple of 584,458,514 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 584,458,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,458,514) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(584,458,514) x common factors =2 x 2 = 4

LCM(584,458,514) = ( 584 × 458 × 514 ) / 4

LCM(584,458,514) = 137480608 / 4

LCM(584,458,514) = 34370152


Lets's calculate GCF of 60,21,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34370152/1

Therefore the LCM of Fractions 584/60,458/21,514/310 is 34370152

Greatest Common Factor of 60,21,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,21,310 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 60,21,310 . The biggest common factor number is the GCF number.
So the greatest common factor 60,21,310 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 584/60, 458/21, 514/310

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 584/60, 458/21, 514/310?

Answer: LCM of Numerators as per given numbers 584/60, 458/21, 514/310 is

LCM of Numerators i.e. for 584,458,514 is 34370152

GCF of denominators i.e. for 60,21,310 is 1.

Thus, LCM of Fractions is 34370152.Finally, LCM of Fractions for 584/60, 458/21, 514/310 is 34370152.