Least Common Multiple of 14/236, 7459/9309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/236, 7459/9309 quickly i.e. 104426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/236, 7459/9309 is 104426.

LCM(14/236, 7459/9309) = 104426

LCM of 14/236, 7459/9309

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 14/236,7459/9309

Given numbers are 14/236,7459/9309

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 14,7459

Least Common Multiple of Numerators i.e. LCM of 14,7459 is 104426.

GCF of Denominators means GCF of 236,9309 as per the given fractions.

GCF of 236,9309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7459

LCM of Fractions 14/236,7459/9309 is 104426

Given numbers has no common factors except 1. So, there LCM is their product i.e 104426

Least Common Multiple of 14,7459 with GCF Formula

Least Common Multiple of 14,7459 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 14,7459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7459) = 1

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

GCF(14,7459) x common factors =1 x 1 = 1

LCM(14,7459) = ( 14 × 7459 ) / 1

LCM(14,7459) = 104426 / 1

LCM(14,7459) = 104426


Lets's calculate GCF of 236,9309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104426/1

Therefore the LCM of Fractions 14/236,7459/9309 is 104426

Greatest Common Factor of 236,9309 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,9309 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 236,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 236,9309 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/236, 7459/9309

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 14/236, 7459/9309?

Answer: LCM of Numerators as per given numbers 14/236, 7459/9309 is

LCM of Numerators i.e. for 14,7459 is 104426

GCF of denominators i.e. for 236,9309 is 1.

Thus, LCM of Fractions is 104426.Finally, LCM of Fractions for 14/236, 7459/9309 is 104426.