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LCM of 410, 423, 523, 984

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


Find the LCM of 410, 423, 523, 984 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 410, 423, 523, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,423,523,984

Given numbers are 410,423,523,984

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

The LCM of 410,423,523,984 is 362815560.

Find LCM of 410,423,523,984 with Prime Factorization


2 410, 423, 523, 984
3 205, 423, 523, 492
41 205, 141, 523, 164
5, 141, 523, 4

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

2 x 3 x 41 x 5 x 141 x 523 x 4 = 362815560

Therefore, the lowest common multiple of 410,423,523,984 is 362815560.

LCM Formula to Find Lowest Common Multiple of 410,423,523,984

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.

410 x 423 x 523 x 984 = 89252627760

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

423 : 1, 3, 9, 47, 141, 423

523 : 1, 523

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,423,523,984, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

423:3x 3x 47

523:523

984:2x 2x 2x 3x 41

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

2x 3x 41 = 246

Therefore, the value for common factors is 246.

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 = 89252627760/(1x246)

LCM = 89252627760/246

LCM = 362815560

Thus, we can understand that the LCM of 410,423,523,984 is 362815560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 423, 523, 984

1. What is the LCM of 410, 423, 523, 984?

Answer: LCM of 410, 423, 523, 984 is 362815560.

2. How to calculate the LCM of 410, 423, 523, 984?

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 410, 423, 523, 984.

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}.