Least Common Multiple of 34/389, 541/835, 271/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/389, 541/835, 271/917 quickly i.e. 4984774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/389, 541/835, 271/917 is 4984774.

LCM(34/389, 541/835, 271/917) = 4984774

LCM of 34/389, 541/835, 271/917

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 34/389,541/835,271/917

Given numbers are 34/389,541/835,271/917

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 34,541,271

Least Common Multiple of Numerators i.e. LCM of 34,541,271 is 4984774.

GCF of Denominators means GCF of 389,835,917 as per the given fractions.

GCF of 389,835,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,541,271

LCM of Fractions 34/389,541/835,271/917 is 4984774

Given numbers has no common factors except 1. So, there LCM is their product i.e 4984774

Least Common Multiple of 34,541,271 with GCF Formula

Least Common Multiple of 34,541,271 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 34,541,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,541,271) = 1

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

GCF(34,541,271) x common factors =1 x 1 = 1

LCM(34,541,271) = ( 34 × 541 × 271 ) / 1

LCM(34,541,271) = 4984774 / 1

LCM(34,541,271) = 4984774


Lets's calculate GCF of 389,835,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4984774/1

Therefore the LCM of Fractions 34/389,541/835,271/917 is 4984774

Greatest Common Factor of 389,835,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,835,917 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 389,835,917 . The biggest common factor number is the GCF number.
So the greatest common factor 389,835,917 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 34/389, 541/835, 271/917

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 34/389, 541/835, 271/917?

Answer: LCM of Numerators as per given numbers 34/389, 541/835, 271/917 is

LCM of Numerators i.e. for 34,541,271 is 4984774

GCF of denominators i.e. for 389,835,917 is 1.

Thus, LCM of Fractions is 4984774.Finally, LCM of Fractions for 34/389, 541/835, 271/917 is 4984774.