Least Common Multiple of 106/32, 8099/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 106/32, 8099/890 quickly i.e. 429247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/32, 8099/890 is 429247.

LCM(106/32, 8099/890) = 429247

LCM of 106/32, 8099/890

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 106/32,8099/890

Given numbers are 106/32,8099/890

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 106,8099

Least Common Multiple of Numerators i.e. LCM of 106,8099 is 858494.

GCF of Denominators means GCF of 32,890 as per the given fractions.

GCF of 32,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,8099

LCM of Fractions 106/32,8099/890 is 429247

Given numbers has no common factors except 1. So, there LCM is their product i.e 858494

Least Common Multiple of 106,8099 with GCF Formula

Least Common Multiple of 106,8099 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 106,8099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,8099) = 1

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

GCF(106,8099) x common factors =1 x 1 = 1

LCM(106,8099) = ( 106 × 8099 ) / 1

LCM(106,8099) = 858494 / 1

LCM(106,8099) = 858494


Lets's calculate GCF of 32,890

2 32, 890
16, 445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858494/2

Therefore the LCM of Fractions 106/32,8099/890 is 429247

Greatest Common Factor of 32,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,890 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 32,890 . The biggest common factor number is the GCF number.
So the greatest common factor 32,890 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 106/32, 8099/890

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 106/32, 8099/890?

Answer: LCM of Numerators as per given numbers 106/32, 8099/890 is

LCM of Numerators i.e. for 106,8099 is 858494

GCF of denominators i.e. for 32,890 is 2.

Thus, LCM of Fractions is 429247.Finally, LCM of Fractions for 106/32, 8099/890 is 429247.