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LCM of 412, 154, 506, 434

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


Find the LCM of 412, 154, 506, 434 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 412, 154, 506, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,154,506,434

Given numbers are 412,154,506,434

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

The LCM of 412,154,506,434 is 22619212.

Find LCM of 412,154,506,434 with Prime Factorization


2 412, 154, 506, 434
7 206, 77, 253, 217
11 206, 11, 253, 31
206, 1, 23, 31

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

2 x 7 x 11 x 206 x 1 x 23 x 31 = 22619212

Therefore, the lowest common multiple of 412,154,506,434 is 22619212.

LCM Formula to Find Lowest Common Multiple of 412,154,506,434

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.

412 x 154 x 506 x 434 = 13933434592

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.

412 : 1, 2, 4, 103, 206, 412

154 : 1, 2, 7, 11, 14, 22, 77, 154

506 : 1, 2, 11, 22, 23, 46, 253, 506

434 : 1, 2, 7, 14, 31, 62, 217, 434

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,154,506,434, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

154:2x 7x 11

506:2x 11x 23

434:2x 7x 31

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

2x 2x 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 13933434592/(2x308)

LCM = 13933434592/616

LCM = 22619212

Thus, we can understand that the LCM of 412,154,506,434 is 22619212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 154, 506, 434

1. What is the LCM of 412, 154, 506, 434?

Answer: LCM of 412, 154, 506, 434 is 22619212.

2. How to calculate the LCM of 412, 154, 506, 434?

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 412, 154, 506, 434.

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}.