Least Common Multiple of 8388/85, 1864/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8388/85, 1864/448 quickly i.e. 16776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8388/85, 1864/448 is 16776.

LCM(8388/85, 1864/448) = 16776

LCM of 8388/85, 1864/448

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 8388/85,1864/448

Given numbers are 8388/85,1864/448

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 8388,1864

Least Common Multiple of Numerators i.e. LCM of 8388,1864 is 16776.

GCF of Denominators means GCF of 85,448 as per the given fractions.

GCF of 85,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8388,1864

LCM of Fractions 8388/85,1864/448 is 16776

2 8388, 1864
2 4194, 932
233 2097, 466
9, 2

∴ So the LCM of the given numbers is 2 x 2 x 233 x 9 x 2 = 16776

Least Common Multiple of 8388,1864 with GCF Formula

Least Common Multiple of 8388,1864 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 8388,1864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8388,1864) = 932

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

GCF(8388,1864) x common factors =932 x 1 = 932

LCM(8388,1864) = ( 8388 × 1864 ) / 932

LCM(8388,1864) = 15635232 / 932

LCM(8388,1864) = 16776


Lets's calculate GCF of 85,448

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16776/1

Therefore the LCM of Fractions 8388/85,1864/448 is 16776

Greatest Common Factor of 85,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,448 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 85,448 . The biggest common factor number is the GCF number.
So the greatest common factor 85,448 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8388/85, 1864/448

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 8388/85, 1864/448?

Answer: LCM of Numerators as per given numbers 8388/85, 1864/448 is

LCM of Numerators i.e. for 8388,1864 is 16776

GCF of denominators i.e. for 85,448 is 1.

Thus, LCM of Fractions is 16776.Finally, LCM of Fractions for 8388/85, 1864/448 is 16776.