Least Common Multiple of 15/578, 493/862, 466/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/578, 493/862, 466/124 quickly i.e. 1723035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/578, 493/862, 466/124 is 1723035.

LCM(15/578, 493/862, 466/124) = 1723035

LCM of 15/578, 493/862, 466/124

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 15/578,493/862,466/124

Given numbers are 15/578,493/862,466/124

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 15,493,466

Least Common Multiple of Numerators i.e. LCM of 15,493,466 is 3446070.

GCF of Denominators means GCF of 578,862,124 as per the given fractions.

GCF of 578,862,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,493,466

LCM of Fractions 15/578,493/862,466/124 is 1723035

Given numbers has no common factors except 1. So, there LCM is their product i.e 3446070

Least Common Multiple of 15,493,466 with GCF Formula

Least Common Multiple of 15,493,466 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 15,493,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,493,466) = 1

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

GCF(15,493,466) x common factors =1 x 1 = 1

LCM(15,493,466) = ( 15 × 493 × 466 ) / 1

LCM(15,493,466) = 3446070 / 1

LCM(15,493,466) = 3446070


Lets's calculate GCF of 578,862,124

2 578, 862, 124
289, 431, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3446070/2

Therefore the LCM of Fractions 15/578,493/862,466/124 is 1723035

Greatest Common Factor of 578,862,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,862,124 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 578,862,124 . The biggest common factor number is the GCF number.
So the greatest common factor 578,862,124 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 15/578, 493/862, 466/124

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 15/578, 493/862, 466/124?

Answer: LCM of Numerators as per given numbers 15/578, 493/862, 466/124 is

LCM of Numerators i.e. for 15,493,466 is 3446070

GCF of denominators i.e. for 578,862,124 is 2.

Thus, LCM of Fractions is 1723035.Finally, LCM of Fractions for 15/578, 493/862, 466/124 is 1723035.