Least Common Multiple of 458/414, 3218/8451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/414, 3218/8451 quickly i.e. 736922/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/414, 3218/8451 is 736922/9.

LCM(458/414, 3218/8451) = 736922/9

LCM of 458/414, 3218/8451

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 458/414,3218/8451

Given numbers are 458/414,3218/8451

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 458,3218

Least Common Multiple of Numerators i.e. LCM of 458,3218 is 736922.

GCF of Denominators means GCF of 414,8451 as per the given fractions.

GCF of 414,8451 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,3218

LCM of Fractions 458/414,3218/8451 is 736922/9

2 458, 3218
229, 1609

∴ So the LCM of the given numbers is 2 x 229 x 1609 = 736922

Least Common Multiple of 458,3218 with GCF Formula

Least Common Multiple of 458,3218 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 458,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,3218) = 2

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

GCF(458,3218) x common factors =2 x 1 = 2

LCM(458,3218) = ( 458 × 3218 ) / 2

LCM(458,3218) = 1473844 / 2

LCM(458,3218) = 736922


Lets's calculate GCF of 414,8451

3 414, 8451
3 138, 2817
46, 939

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736922/9

Therefore the LCM of Fractions 458/414,3218/8451 is 736922/9

Greatest Common Factor of 414,8451 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,8451 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1,3,9,27,313,939,2817,8451

Greatest Common Factor

We found the factors 414,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 414,8451 is 9.


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 458/414, 3218/8451

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 458/414, 3218/8451?

Answer: LCM of Numerators as per given numbers 458/414, 3218/8451 is

LCM of Numerators i.e. for 458,3218 is 736922

GCF of denominators i.e. for 414,8451 is 9.

Thus, LCM of Fractions is 736922/9.Finally, LCM of Fractions for 458/414, 3218/8451 is 736922/9.