Least Common Multiple of 82/470, 48/727, 959/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/470, 48/727, 959/214 quickly i.e. 1887312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/470, 48/727, 959/214 is 1887312.

LCM(82/470, 48/727, 959/214) = 1887312

LCM of 82/470, 48/727, 959/214

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 82/470,48/727,959/214

Given numbers are 82/470,48/727,959/214

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 82,48,959

Least Common Multiple of Numerators i.e. LCM of 82,48,959 is 1887312.

GCF of Denominators means GCF of 470,727,214 as per the given fractions.

GCF of 470,727,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,48,959

LCM of Fractions 82/470,48/727,959/214 is 1887312

2 82, 48, 959
41, 24, 959

∴ So the LCM of the given numbers is 2 x 41 x 24 x 959 = 1887312

Least Common Multiple of 82,48,959 with GCF Formula

Least Common Multiple of 82,48,959 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 82,48,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,48,959) = 1

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

GCF(82,48,959) x common factors =1 x 2 = 2

LCM(82,48,959) = ( 82 × 48 × 959 ) / 2

LCM(82,48,959) = 3774624 / 2

LCM(82,48,959) = 1887312


Lets's calculate GCF of 470,727,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1887312/1

Therefore the LCM of Fractions 82/470,48/727,959/214 is 1887312

Greatest Common Factor of 470,727,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,727,214 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 470,727,214 . The biggest common factor number is the GCF number.
So the greatest common factor 470,727,214 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 82/470, 48/727, 959/214

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 82/470, 48/727, 959/214?

Answer: LCM of Numerators as per given numbers 82/470, 48/727, 959/214 is

LCM of Numerators i.e. for 82,48,959 is 1887312

GCF of denominators i.e. for 470,727,214 is 1.

Thus, LCM of Fractions is 1887312.Finally, LCM of Fractions for 82/470, 48/727, 959/214 is 1887312.