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LCM of 9462, 4047

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


Find the LCM of 9462, 4047 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 9462, 4047. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9462,4047

Given numbers are 9462,4047

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

The LCM of 9462,4047 is 671802.

Find LCM of 9462,4047 with Prime Factorization


3 9462, 4047
19 3154, 1349
166, 71

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

3 x 19 x 166 x 71 = 671802

Therefore, the lowest common multiple of 9462,4047 is 671802.

LCM Formula to Find Lowest Common Multiple of 9462,4047

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.

9462 x 4047 = 38292714

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.

9462 : 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462

4047 : 1, 3, 19, 57, 71, 213, 1349, 4047

57 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9462,4047, is 57.

Now, the common factors can be found like this.

9462:2x 3x 19x 83

4047:3x 19x 71

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 = 38292714/(57x1)

LCM = 38292714/57

LCM = 671802

Thus, we can understand that the LCM of 9462,4047 is 671802.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9462, 4047

1. What is the LCM of 9462, 4047?

Answer: LCM of 9462, 4047 is 671802.

2. How to calculate the LCM of 9462, 4047?

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 9462, 4047.

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}.