Least Common Multiple of 3010/144, 9809/3263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3010/144, 9809/3263 quickly i.e. 29525090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3010/144, 9809/3263 is 29525090.

LCM(3010/144, 9809/3263) = 29525090

LCM of 3010/144, 9809/3263

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 3010/144,9809/3263

Given numbers are 3010/144,9809/3263

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 3010,9809

Least Common Multiple of Numerators i.e. LCM of 3010,9809 is 29525090.

GCF of Denominators means GCF of 144,3263 as per the given fractions.

GCF of 144,3263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3010,9809

LCM of Fractions 3010/144,9809/3263 is 29525090

Given numbers has no common factors except 1. So, there LCM is their product i.e 29525090

Least Common Multiple of 3010,9809 with GCF Formula

Least Common Multiple of 3010,9809 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 3010,9809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3010,9809) = 1

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

GCF(3010,9809) x common factors =1 x 1 = 1

LCM(3010,9809) = ( 3010 × 9809 ) / 1

LCM(3010,9809) = 29525090 / 1

LCM(3010,9809) = 29525090


Lets's calculate GCF of 144,3263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29525090/1

Therefore the LCM of Fractions 3010/144,9809/3263 is 29525090

Greatest Common Factor of 144,3263 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,3263 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1,13,251,3263

Greatest Common Factor

We found the factors 144,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 144,3263 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3010/144, 9809/3263

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 3010/144, 9809/3263?

Answer: LCM of Numerators as per given numbers 3010/144, 9809/3263 is

LCM of Numerators i.e. for 3010,9809 is 29525090

GCF of denominators i.e. for 144,3263 is 1.

Thus, LCM of Fractions is 29525090.Finally, LCM of Fractions for 3010/144, 9809/3263 is 29525090.