Least Common Multiple of 890/22, 288/11, 134/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 890/22, 288/11, 134/216 quickly i.e. 8586720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/22, 288/11, 134/216 is 8586720.

LCM(890/22, 288/11, 134/216) = 8586720

LCM of 890/22, 288/11, 134/216

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 890/22,288/11,134/216

Given numbers are 890/22,288/11,134/216

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 890,288,134

Least Common Multiple of Numerators i.e. LCM of 890,288,134 is 8586720.

GCF of Denominators means GCF of 22,11,216 as per the given fractions.

GCF of 22,11,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,288,134

LCM of Fractions 890/22,288/11,134/216 is 8586720

2 890, 288, 134
445, 144, 67

∴ So the LCM of the given numbers is 2 x 445 x 144 x 67 = 8586720

Least Common Multiple of 890,288,134 with GCF Formula

Least Common Multiple of 890,288,134 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 890,288,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,288,134) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(890,288,134) x common factors =2 x 2 = 4

LCM(890,288,134) = ( 890 × 288 × 134 ) / 4

LCM(890,288,134) = 34346880 / 4

LCM(890,288,134) = 8586720


Lets's calculate GCF of 22,11,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8586720/1

Therefore the LCM of Fractions 890/22,288/11,134/216 is 8586720

Greatest Common Factor of 22,11,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,11,216 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 22,11,216 . The biggest common factor number is the GCF number.
So the greatest common factor 22,11,216 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 890/22, 288/11, 134/216

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 890/22, 288/11, 134/216?

Answer: LCM of Numerators as per given numbers 890/22, 288/11, 134/216 is

LCM of Numerators i.e. for 890,288,134 is 8586720

GCF of denominators i.e. for 22,11,216 is 1.

Thus, LCM of Fractions is 8586720.Finally, LCM of Fractions for 890/22, 288/11, 134/216 is 8586720.