Least Common Multiple of 388/686, 559/832, 572/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/686, 559/832, 572/458 quickly i.e. 1192906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/686, 559/832, 572/458 is 1192906.

LCM(388/686, 559/832, 572/458) = 1192906

LCM of 388/686, 559/832, 572/458

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 388/686,559/832,572/458

Given numbers are 388/686,559/832,572/458

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 388,559,572

Least Common Multiple of Numerators i.e. LCM of 388,559,572 is 2385812.

GCF of Denominators means GCF of 686,832,458 as per the given fractions.

GCF of 686,832,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,559,572

LCM of Fractions 388/686,559/832,572/458 is 1192906

2 388, 559, 572
2 194, 559, 286
13 97, 559, 143
97, 43, 11

∴ So the LCM of the given numbers is 2 x 2 x 13 x 97 x 43 x 11 = 2385812

Least Common Multiple of 388,559,572 with GCF Formula

Least Common Multiple of 388,559,572 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 388,559,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,559,572) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(388,559,572) x common factors =1 x 52 = 52

LCM(388,559,572) = ( 388 × 559 × 572 ) / 52

LCM(388,559,572) = 124062224 / 52

LCM(388,559,572) = 2385812


Lets's calculate GCF of 686,832,458

2 686, 832, 458
343, 416, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385812/2

Therefore the LCM of Fractions 388/686,559/832,572/458 is 1192906

Greatest Common Factor of 686,832,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,832,458 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 458

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

1,2,229,458

Greatest Common Factor

We found the factors 686,832,458 . The biggest common factor number is the GCF number.
So the greatest common factor 686,832,458 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 388/686, 559/832, 572/458

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 388/686, 559/832, 572/458?

Answer: LCM of Numerators as per given numbers 388/686, 559/832, 572/458 is

LCM of Numerators i.e. for 388,559,572 is 2385812

GCF of denominators i.e. for 686,832,458 is 2.

Thus, LCM of Fractions is 1192906.Finally, LCM of Fractions for 388/686, 559/832, 572/458 is 1192906.