Least Common Multiple of 458/821, 726/618, 914/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/821, 726/618, 914/818 quickly i.e. 75978078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/821, 726/618, 914/818 is 75978078.

LCM(458/821, 726/618, 914/818) = 75978078

LCM of 458/821, 726/618, 914/818

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 458/821,726/618,914/818

Given numbers are 458/821,726/618,914/818

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 458,726,914

Least Common Multiple of Numerators i.e. LCM of 458,726,914 is 75978078.

GCF of Denominators means GCF of 821,618,818 as per the given fractions.

GCF of 821,618,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,726,914

LCM of Fractions 458/821,726/618,914/818 is 75978078

2 458, 726, 914
229, 363, 457

∴ So the LCM of the given numbers is 2 x 229 x 363 x 457 = 75978078

Least Common Multiple of 458,726,914 with GCF Formula

Least Common Multiple of 458,726,914 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 458,726,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,726,914) = 2

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

GCF(458,726,914) x common factors =2 x 2 = 4

LCM(458,726,914) = ( 458 × 726 × 914 ) / 4

LCM(458,726,914) = 303912312 / 4

LCM(458,726,914) = 75978078


Lets's calculate GCF of 821,618,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75978078/1

Therefore the LCM of Fractions 458/821,726/618,914/818 is 75978078

Greatest Common Factor of 821,618,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,618,818 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 821,618,818 . The biggest common factor number is the GCF number.
So the greatest common factor 821,618,818 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 458/821, 726/618, 914/818

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 458/821, 726/618, 914/818?

Answer: LCM of Numerators as per given numbers 458/821, 726/618, 914/818 is

LCM of Numerators i.e. for 458,726,914 is 75978078

GCF of denominators i.e. for 821,618,818 is 1.

Thus, LCM of Fractions is 75978078.Finally, LCM of Fractions for 458/821, 726/618, 914/818 is 75978078.