Least Common Multiple of 820/52, 827/58, 860/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/52, 827/58, 860/508 quickly i.e. 14580010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/52, 827/58, 860/508 is 14580010.

LCM(820/52, 827/58, 860/508) = 14580010

LCM of 820/52, 827/58, 860/508

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 820/52,827/58,860/508

Given numbers are 820/52,827/58,860/508

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 820,827,860

Least Common Multiple of Numerators i.e. LCM of 820,827,860 is 29160020.

GCF of Denominators means GCF of 52,58,508 as per the given fractions.

GCF of 52,58,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,827,860

LCM of Fractions 820/52,827/58,860/508 is 14580010

2 820, 827, 860
2 410, 827, 430
5 205, 827, 215
41, 827, 43

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 827 x 43 = 29160020

Least Common Multiple of 820,827,860 with GCF Formula

Least Common Multiple of 820,827,860 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 820,827,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,827,860) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(820,827,860) x common factors =1 x 20 = 20

LCM(820,827,860) = ( 820 × 827 × 860 ) / 20

LCM(820,827,860) = 583200400 / 20

LCM(820,827,860) = 29160020


Lets's calculate GCF of 52,58,508

2 52, 58, 508
26, 29, 254

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29160020/2

Therefore the LCM of Fractions 820/52,827/58,860/508 is 14580010

Greatest Common Factor of 52,58,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,58,508 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 52,58,508 . The biggest common factor number is the GCF number.
So the greatest common factor 52,58,508 is 2.


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 820/52, 827/58, 860/508

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 820/52, 827/58, 860/508?

Answer: LCM of Numerators as per given numbers 820/52, 827/58, 860/508 is

LCM of Numerators i.e. for 820,827,860 is 29160020

GCF of denominators i.e. for 52,58,508 is 2.

Thus, LCM of Fractions is 14580010.Finally, LCM of Fractions for 820/52, 827/58, 860/508 is 14580010.