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LCM of 4309, 9796

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 4309, 9796 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 4309, 9796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4309,9796

Given numbers are 4309,9796

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 4309,9796 is 1361644.

Find LCM of 4309,9796 with Prime Factorization


31 4309, 9796
139, 316

Multiply the prime numbers at the bottom and the left side.

31 x 139 x 316 = 1361644

Therefore, the lowest common multiple of 4309,9796 is 1361644.

LCM Formula to Find Lowest Common Multiple of 4309,9796

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

4309 x 9796 = 42210964

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

4309 : 1, 31, 139, 4309

9796 : 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796

31 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4309,9796, is 31.

Now, the common factors can be found like this.

4309:31x 139

9796:2x 2x 31x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 42210964/(31x1)

LCM = 42210964/31

LCM = 1361644

Thus, we can understand that the LCM of 4309,9796 is 1361644.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4309, 9796

1. What is the LCM of 4309, 9796?

Answer: LCM of 4309, 9796 is 1361644.

2. How to calculate the LCM of 4309, 9796?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 4309, 9796.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.