Least Common Multiple of 448/458, 6643/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/458, 6643/470 quickly i.e. 212576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/458, 6643/470 is 212576.

LCM(448/458, 6643/470) = 212576

LCM of 448/458, 6643/470

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 448/458,6643/470

Given numbers are 448/458,6643/470

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 448,6643

Least Common Multiple of Numerators i.e. LCM of 448,6643 is 425152.

GCF of Denominators means GCF of 458,470 as per the given fractions.

GCF of 458,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,6643

LCM of Fractions 448/458,6643/470 is 212576

7 448, 6643
64, 949

∴ So the LCM of the given numbers is 7 x 64 x 949 = 425152

Least Common Multiple of 448,6643 with GCF Formula

Least Common Multiple of 448,6643 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 448,6643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,6643) = 7

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

GCF(448,6643) x common factors =7 x 1 = 7

LCM(448,6643) = ( 448 × 6643 ) / 7

LCM(448,6643) = 2976064 / 7

LCM(448,6643) = 425152


Lets's calculate GCF of 458,470

2 458, 470
229, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425152/2

Therefore the LCM of Fractions 448/458,6643/470 is 212576

Greatest Common Factor of 458,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,470 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 458,470 . The biggest common factor number is the GCF number.
So the greatest common factor 458,470 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 448/458, 6643/470

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 448/458, 6643/470?

Answer: LCM of Numerators as per given numbers 448/458, 6643/470 is

LCM of Numerators i.e. for 448,6643 is 425152

GCF of denominators i.e. for 458,470 is 2.

Thus, LCM of Fractions is 212576.Finally, LCM of Fractions for 448/458, 6643/470 is 212576.