Least Common Multiple of 896/458, 3633/8490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/458, 3633/8490 quickly i.e. 232512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/458, 3633/8490 is 232512.

LCM(896/458, 3633/8490) = 232512

LCM of 896/458, 3633/8490

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 896/458,3633/8490

Given numbers are 896/458,3633/8490

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 896,3633

Least Common Multiple of Numerators i.e. LCM of 896,3633 is 465024.

GCF of Denominators means GCF of 458,8490 as per the given fractions.

GCF of 458,8490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,3633

LCM of Fractions 896/458,3633/8490 is 232512

7 896, 3633
128, 519

∴ So the LCM of the given numbers is 7 x 128 x 519 = 465024

Least Common Multiple of 896,3633 with GCF Formula

Least Common Multiple of 896,3633 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 896,3633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,3633) = 7

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

GCF(896,3633) x common factors =7 x 1 = 7

LCM(896,3633) = ( 896 × 3633 ) / 7

LCM(896,3633) = 3255168 / 7

LCM(896,3633) = 465024


Lets's calculate GCF of 458,8490

2 458, 8490
229, 4245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465024/2

Therefore the LCM of Fractions 896/458,3633/8490 is 232512

Greatest Common Factor of 458,8490 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,8490 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 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Greatest Common Factor

We found the factors 458,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 458,8490 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 896/458, 3633/8490

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 896/458, 3633/8490?

Answer: LCM of Numerators as per given numbers 896/458, 3633/8490 is

LCM of Numerators i.e. for 896,3633 is 465024

GCF of denominators i.e. for 458,8490 is 2.

Thus, LCM of Fractions is 232512.Finally, LCM of Fractions for 896/458, 3633/8490 is 232512.