Least Common Multiple of 86/304, 61/591, 622/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/304, 61/591, 622/431 quickly i.e. 1631506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/304, 61/591, 622/431 is 1631506.

LCM(86/304, 61/591, 622/431) = 1631506

LCM of 86/304, 61/591, 622/431

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 86/304,61/591,622/431

Given numbers are 86/304,61/591,622/431

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 86,61,622

Least Common Multiple of Numerators i.e. LCM of 86,61,622 is 1631506.

GCF of Denominators means GCF of 304,591,431 as per the given fractions.

GCF of 304,591,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,61,622

LCM of Fractions 86/304,61/591,622/431 is 1631506

2 86, 61, 622
43, 61, 311

∴ So the LCM of the given numbers is 2 x 43 x 61 x 311 = 1631506

Least Common Multiple of 86,61,622 with GCF Formula

Least Common Multiple of 86,61,622 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 86,61,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,61,622) = 1

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

GCF(86,61,622) x common factors =1 x 2 = 2

LCM(86,61,622) = ( 86 × 61 × 622 ) / 2

LCM(86,61,622) = 3263012 / 2

LCM(86,61,622) = 1631506


Lets's calculate GCF of 304,591,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1631506/1

Therefore the LCM of Fractions 86/304,61/591,622/431 is 1631506

Greatest Common Factor of 304,591,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,591,431 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 304,591,431 . The biggest common factor number is the GCF number.
So the greatest common factor 304,591,431 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 86/304, 61/591, 622/431

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 86/304, 61/591, 622/431?

Answer: LCM of Numerators as per given numbers 86/304, 61/591, 622/431 is

LCM of Numerators i.e. for 86,61,622 is 1631506

GCF of denominators i.e. for 304,591,431 is 1.

Thus, LCM of Fractions is 1631506.Finally, LCM of Fractions for 86/304, 61/591, 622/431 is 1631506.