Least Common Multiple of 6/417, 55/289, 74/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/417, 55/289, 74/499 quickly i.e. 12210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/417, 55/289, 74/499 is 12210.

LCM(6/417, 55/289, 74/499) = 12210

LCM of 6/417, 55/289, 74/499

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 6/417,55/289,74/499

Given numbers are 6/417,55/289,74/499

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 6,55,74

Least Common Multiple of Numerators i.e. LCM of 6,55,74 is 12210.

GCF of Denominators means GCF of 417,289,499 as per the given fractions.

GCF of 417,289,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,55,74

LCM of Fractions 6/417,55/289,74/499 is 12210

2 6, 55, 74
3, 55, 37

∴ So the LCM of the given numbers is 2 x 3 x 55 x 37 = 12210

Least Common Multiple of 6,55,74 with GCF Formula

Least Common Multiple of 6,55,74 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 6,55,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,55,74) = 1

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

GCF(6,55,74) x common factors =1 x 2 = 2

LCM(6,55,74) = ( 6 × 55 × 74 ) / 2

LCM(6,55,74) = 24420 / 2

LCM(6,55,74) = 12210


Lets's calculate GCF of 417,289,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12210/1

Therefore the LCM of Fractions 6/417,55/289,74/499 is 12210

Greatest Common Factor of 417,289,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,289,499 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 417,289,499 . The biggest common factor number is the GCF number.
So the greatest common factor 417,289,499 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 6/417, 55/289, 74/499

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 6/417, 55/289, 74/499?

Answer: LCM of Numerators as per given numbers 6/417, 55/289, 74/499 is

LCM of Numerators i.e. for 6,55,74 is 12210

GCF of denominators i.e. for 417,289,499 is 1.

Thus, LCM of Fractions is 12210.Finally, LCM of Fractions for 6/417, 55/289, 74/499 is 12210.