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LCM of 8822, 3460

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


Find the LCM of 8822, 3460 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 8822, 3460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8822,3460

Given numbers are 8822,3460

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

The LCM of 8822,3460 is 15262060.

Find LCM of 8822,3460 with Prime Factorization


2 8822, 3460
4411, 1730

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

2 x 4411 x 1730 = 15262060

Therefore, the lowest common multiple of 8822,3460 is 15262060.

LCM Formula to Find Lowest Common Multiple of 8822,3460

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.

8822 x 3460 = 30524120

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.

8822 : 1, 2, 11, 22, 401, 802, 4411, 8822

3460 : 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8822,3460, is 2.

Now, the common factors can be found like this.

8822:2x 11x 401

3460:2x 2x 5x 173

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 = 30524120/(2x1)

LCM = 30524120/2

LCM = 15262060

Thus, we can understand that the LCM of 8822,3460 is 15262060.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8822, 3460

1. What is the LCM of 8822, 3460?

Answer: LCM of 8822, 3460 is 15262060.

2. How to calculate the LCM of 8822, 3460?

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 8822, 3460.

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}.