Least Common Multiple of 59/498, 964/409, 556/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/498, 964/409, 556/367 quickly i.e. 7905764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/498, 964/409, 556/367 is 7905764.

LCM(59/498, 964/409, 556/367) = 7905764

LCM of 59/498, 964/409, 556/367

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 59/498,964/409,556/367

Given numbers are 59/498,964/409,556/367

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 59,964,556

Least Common Multiple of Numerators i.e. LCM of 59,964,556 is 7905764.

GCF of Denominators means GCF of 498,409,367 as per the given fractions.

GCF of 498,409,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,964,556

LCM of Fractions 59/498,964/409,556/367 is 7905764

2 59, 964, 556
2 59, 482, 278
59, 241, 139

∴ So the LCM of the given numbers is 2 x 2 x 59 x 241 x 139 = 7905764

Least Common Multiple of 59,964,556 with GCF Formula

Least Common Multiple of 59,964,556 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 59,964,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,964,556) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(59,964,556) x common factors =1 x 4 = 4

LCM(59,964,556) = ( 59 × 964 × 556 ) / 4

LCM(59,964,556) = 31623056 / 4

LCM(59,964,556) = 7905764


Lets's calculate GCF of 498,409,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7905764/1

Therefore the LCM of Fractions 59/498,964/409,556/367 is 7905764

Greatest Common Factor of 498,409,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,409,367 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 498,409,367 . The biggest common factor number is the GCF number.
So the greatest common factor 498,409,367 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 59/498, 964/409, 556/367

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 59/498, 964/409, 556/367?

Answer: LCM of Numerators as per given numbers 59/498, 964/409, 556/367 is

LCM of Numerators i.e. for 59,964,556 is 7905764

GCF of denominators i.e. for 498,409,367 is 1.

Thus, LCM of Fractions is 7905764.Finally, LCM of Fractions for 59/498, 964/409, 556/367 is 7905764.