Least Common Multiple of 440/46, 742/8816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/46, 742/8816 quickly i.e. 81620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/46, 742/8816 is 81620.

LCM(440/46, 742/8816) = 81620

LCM of 440/46, 742/8816

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 440/46,742/8816

Given numbers are 440/46,742/8816

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 440,742

Least Common Multiple of Numerators i.e. LCM of 440,742 is 163240.

GCF of Denominators means GCF of 46,8816 as per the given fractions.

GCF of 46,8816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,742

LCM of Fractions 440/46,742/8816 is 81620

2 440, 742
220, 371

∴ So the LCM of the given numbers is 2 x 220 x 371 = 163240

Least Common Multiple of 440,742 with GCF Formula

Least Common Multiple of 440,742 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 440,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,742) = 2

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

GCF(440,742) x common factors =2 x 1 = 2

LCM(440,742) = ( 440 × 742 ) / 2

LCM(440,742) = 326480 / 2

LCM(440,742) = 163240


Lets's calculate GCF of 46,8816

2 46, 8816
23, 4408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163240/2

Therefore the LCM of Fractions 440/46,742/8816 is 81620

Greatest Common Factor of 46,8816 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,8816 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 46,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8816 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 440/46, 742/8816

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 440/46, 742/8816?

Answer: LCM of Numerators as per given numbers 440/46, 742/8816 is

LCM of Numerators i.e. for 440,742 is 163240

GCF of denominators i.e. for 46,8816 is 2.

Thus, LCM of Fractions is 81620.Finally, LCM of Fractions for 440/46, 742/8816 is 81620.