Least Common Multiple of 918/588, 156/419, 386/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/588, 156/419, 386/690 quickly i.e. 4606524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/588, 156/419, 386/690 is 4606524.

LCM(918/588, 156/419, 386/690) = 4606524

LCM of 918/588, 156/419, 386/690

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 918/588,156/419,386/690

Given numbers are 918/588,156/419,386/690

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 918,156,386

Least Common Multiple of Numerators i.e. LCM of 918,156,386 is 4606524.

GCF of Denominators means GCF of 588,419,690 as per the given fractions.

GCF of 588,419,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,156,386

LCM of Fractions 918/588,156/419,386/690 is 4606524

2 918, 156, 386
3 459, 78, 193
153, 26, 193

∴ So the LCM of the given numbers is 2 x 3 x 153 x 26 x 193 = 4606524

Least Common Multiple of 918,156,386 with GCF Formula

Least Common Multiple of 918,156,386 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 918,156,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,156,386) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(918,156,386) x common factors =2 x 6 = 12

LCM(918,156,386) = ( 918 × 156 × 386 ) / 12

LCM(918,156,386) = 55278288 / 12

LCM(918,156,386) = 4606524


Lets's calculate GCF of 588,419,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4606524/1

Therefore the LCM of Fractions 918/588,156/419,386/690 is 4606524

Greatest Common Factor of 588,419,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,419,690 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 588,419,690 . The biggest common factor number is the GCF number.
So the greatest common factor 588,419,690 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 918/588, 156/419, 386/690

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 918/588, 156/419, 386/690?

Answer: LCM of Numerators as per given numbers 918/588, 156/419, 386/690 is

LCM of Numerators i.e. for 918,156,386 is 4606524

GCF of denominators i.e. for 588,419,690 is 1.

Thus, LCM of Fractions is 4606524.Finally, LCM of Fractions for 918/588, 156/419, 386/690 is 4606524.