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LCM of 9470, 1228

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


Find the LCM of 9470, 1228 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 9470, 1228. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9470,1228

Given numbers are 9470,1228

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

The LCM of 9470,1228 is 5814580.

Find LCM of 9470,1228 with Prime Factorization


2 9470, 1228
4735, 614

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

2 x 4735 x 614 = 5814580

Therefore, the lowest common multiple of 9470,1228 is 5814580.

LCM Formula to Find Lowest Common Multiple of 9470,1228

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.

9470 x 1228 = 11629160

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.

9470 : 1, 2, 5, 10, 947, 1894, 4735, 9470

1228 : 1, 2, 4, 307, 614, 1228

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9470,1228, is 2.

Now, the common factors can be found like this.

9470:2x 5x 947

1228:2x 2x 307

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 = 11629160/(2x1)

LCM = 11629160/2

LCM = 5814580

Thus, we can understand that the LCM of 9470,1228 is 5814580.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9470, 1228

1. What is the LCM of 9470, 1228?

Answer: LCM of 9470, 1228 is 5814580.

2. How to calculate the LCM of 9470, 1228?

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 9470, 1228.

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}.