Least Common Multiple of 16/848, 3440/8448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/848, 3440/8448 quickly i.e. 215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/848, 3440/8448 is 215.

LCM(16/848, 3440/8448) = 215

LCM of 16/848, 3440/8448

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 16/848,3440/8448

Given numbers are 16/848,3440/8448

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 16,3440

Least Common Multiple of Numerators i.e. LCM of 16,3440 is 3440.

GCF of Denominators means GCF of 848,8448 as per the given fractions.

GCF of 848,8448 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,3440

LCM of Fractions 16/848,3440/8448 is 215

2 16, 3440
2 8, 1720
2 4, 860
2 2, 430
1, 215

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 215 = 3440

Least Common Multiple of 16,3440 with GCF Formula

Least Common Multiple of 16,3440 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 16,3440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,3440) = 16

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

GCF(16,3440) x common factors =16 x 1 = 16

LCM(16,3440) = ( 16 × 3440 ) / 16

LCM(16,3440) = 55040 / 16

LCM(16,3440) = 3440


Lets's calculate GCF of 848,8448

2 848, 8448
2 424, 4224
2 212, 2112
2 106, 1056
53, 528

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3440/16

Therefore the LCM of Fractions 16/848,3440/8448 is 215

Greatest Common Factor of 848,8448 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,8448 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Greatest Common Factor

We found the factors 848,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 848,8448 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/848, 3440/8448

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 16/848, 3440/8448?

Answer: LCM of Numerators as per given numbers 16/848, 3440/8448 is

LCM of Numerators i.e. for 16,3440 is 3440

GCF of denominators i.e. for 848,8448 is 16.

Thus, LCM of Fractions is 215.Finally, LCM of Fractions for 16/848, 3440/8448 is 215.