Least Common Multiple of 34/522, 61/460, 417/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/522, 61/460, 417/108 quickly i.e. 432429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/522, 61/460, 417/108 is 432429.

LCM(34/522, 61/460, 417/108) = 432429

LCM of 34/522, 61/460, 417/108

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 34/522,61/460,417/108

Given numbers are 34/522,61/460,417/108

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 34,61,417

Least Common Multiple of Numerators i.e. LCM of 34,61,417 is 864858.

GCF of Denominators means GCF of 522,460,108 as per the given fractions.

GCF of 522,460,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,61,417

LCM of Fractions 34/522,61/460,417/108 is 432429

Given numbers has no common factors except 1. So, there LCM is their product i.e 864858

Least Common Multiple of 34,61,417 with GCF Formula

Least Common Multiple of 34,61,417 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 34,61,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,417) = 1

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

GCF(34,61,417) x common factors =1 x 1 = 1

LCM(34,61,417) = ( 34 × 61 × 417 ) / 1

LCM(34,61,417) = 864858 / 1

LCM(34,61,417) = 864858


Lets's calculate GCF of 522,460,108

2 522, 460, 108
261, 230, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864858/2

Therefore the LCM of Fractions 34/522,61/460,417/108 is 432429

Greatest Common Factor of 522,460,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,460,108 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 522,460,108 . The biggest common factor number is the GCF number.
So the greatest common factor 522,460,108 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 34/522, 61/460, 417/108

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 34/522, 61/460, 417/108?

Answer: LCM of Numerators as per given numbers 34/522, 61/460, 417/108 is

LCM of Numerators i.e. for 34,61,417 is 864858

GCF of denominators i.e. for 522,460,108 is 2.

Thus, LCM of Fractions is 432429.Finally, LCM of Fractions for 34/522, 61/460, 417/108 is 432429.