Least Common Multiple of 291/30, 929/58, 839/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 291/30, 929/58, 839/802 quickly i.e. 226814421/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/30, 929/58, 839/802 is 226814421/2.

LCM(291/30, 929/58, 839/802) = 226814421/2

LCM of 291/30, 929/58, 839/802

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 291/30,929/58,839/802

Given numbers are 291/30,929/58,839/802

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 291,929,839

Least Common Multiple of Numerators i.e. LCM of 291,929,839 is 226814421.

GCF of Denominators means GCF of 30,58,802 as per the given fractions.

GCF of 30,58,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,929,839

LCM of Fractions 291/30,929/58,839/802 is 226814421/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 226814421

Least Common Multiple of 291,929,839 with GCF Formula

Least Common Multiple of 291,929,839 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 291,929,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,929,839) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(291,929,839) x common factors =1 x 1 = 1

LCM(291,929,839) = ( 291 × 929 × 839 ) / 1

LCM(291,929,839) = 226814421 / 1

LCM(291,929,839) = 226814421


Lets's calculate GCF of 30,58,802

2 30, 58, 802
15, 29, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226814421/2

Therefore the LCM of Fractions 291/30,929/58,839/802 is 226814421/2

Greatest Common Factor of 30,58,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,58,802 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 58

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

1,2,29,58

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 30,58,802 . The biggest common factor number is the GCF number.
So the greatest common factor 30,58,802 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 291/30, 929/58, 839/802

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 291/30, 929/58, 839/802?

Answer: LCM of Numerators as per given numbers 291/30, 929/58, 839/802 is

LCM of Numerators i.e. for 291,929,839 is 226814421

GCF of denominators i.e. for 30,58,802 is 2.

Thus, LCM of Fractions is 226814421/2.Finally, LCM of Fractions for 291/30, 929/58, 839/802 is 226814421/2.