Least Common Multiple of 88/586, 36/458, 694/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/586, 36/458, 694/820 quickly i.e. 137412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/586, 36/458, 694/820 is 137412.

LCM(88/586, 36/458, 694/820) = 137412

LCM of 88/586, 36/458, 694/820

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 88/586,36/458,694/820

Given numbers are 88/586,36/458,694/820

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 88,36,694

Least Common Multiple of Numerators i.e. LCM of 88,36,694 is 274824.

GCF of Denominators means GCF of 586,458,820 as per the given fractions.

GCF of 586,458,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,36,694

LCM of Fractions 88/586,36/458,694/820 is 137412

2 88, 36, 694
2 44, 18, 347
22, 9, 347

∴ So the LCM of the given numbers is 2 x 2 x 22 x 9 x 347 = 274824

Least Common Multiple of 88,36,694 with GCF Formula

Least Common Multiple of 88,36,694 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 88,36,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,36,694) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(88,36,694) x common factors =2 x 4 = 8

LCM(88,36,694) = ( 88 × 36 × 694 ) / 8

LCM(88,36,694) = 2198592 / 8

LCM(88,36,694) = 274824


Lets's calculate GCF of 586,458,820

2 586, 458, 820
293, 229, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274824/2

Therefore the LCM of Fractions 88/586,36/458,694/820 is 137412

Greatest Common Factor of 586,458,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,458,820 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 586,458,820 . The biggest common factor number is the GCF number.
So the greatest common factor 586,458,820 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 88/586, 36/458, 694/820

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 88/586, 36/458, 694/820?

Answer: LCM of Numerators as per given numbers 88/586, 36/458, 694/820 is

LCM of Numerators i.e. for 88,36,694 is 274824

GCF of denominators i.e. for 586,458,820 is 2.

Thus, LCM of Fractions is 137412.Finally, LCM of Fractions for 88/586, 36/458, 694/820 is 137412.