Least Common Multiple of 258/407, 498/921, 429/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/407, 498/921, 429/418 quickly i.e. 3062202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/407, 498/921, 429/418 is 3062202.

LCM(258/407, 498/921, 429/418) = 3062202

LCM of 258/407, 498/921, 429/418

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 258/407,498/921,429/418

Given numbers are 258/407,498/921,429/418

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 258,498,429

Least Common Multiple of Numerators i.e. LCM of 258,498,429 is 3062202.

GCF of Denominators means GCF of 407,921,418 as per the given fractions.

GCF of 407,921,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,498,429

LCM of Fractions 258/407,498/921,429/418 is 3062202

2 258, 498, 429
3 129, 249, 429
43, 83, 143

∴ So the LCM of the given numbers is 2 x 3 x 43 x 83 x 143 = 3062202

Least Common Multiple of 258,498,429 with GCF Formula

Least Common Multiple of 258,498,429 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 258,498,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,498,429) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(258,498,429) x common factors =3 x 6 = 18

LCM(258,498,429) = ( 258 × 498 × 429 ) / 18

LCM(258,498,429) = 55119636 / 18

LCM(258,498,429) = 3062202


Lets's calculate GCF of 407,921,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3062202/1

Therefore the LCM of Fractions 258/407,498/921,429/418 is 3062202

Greatest Common Factor of 407,921,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,921,418 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 407,921,418 . The biggest common factor number is the GCF number.
So the greatest common factor 407,921,418 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 258/407, 498/921, 429/418

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 258/407, 498/921, 429/418?

Answer: LCM of Numerators as per given numbers 258/407, 498/921, 429/418 is

LCM of Numerators i.e. for 258,498,429 is 3062202

GCF of denominators i.e. for 407,921,418 is 1.

Thus, LCM of Fractions is 3062202.Finally, LCM of Fractions for 258/407, 498/921, 429/418 is 3062202.