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LCM of 564, 600, 411, 402

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


Find the LCM of 564, 600, 411, 402 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 564, 600, 411, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,600,411,402

Given numbers are 564,600,411,402

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

The LCM of 564,600,411,402 is 258847800.

Find LCM of 564,600,411,402 with Prime Factorization


2 564, 600, 411, 402
2 282, 300, 411, 201
3 141, 150, 411, 201
47, 50, 137, 67

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

2 x 2 x 3 x 47 x 50 x 137 x 67 = 258847800

Therefore, the lowest common multiple of 564,600,411,402 is 258847800.

LCM Formula to Find Lowest Common Multiple of 564,600,411,402

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.

564 x 600 x 411 x 402 = 55911124800

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

411 : 1, 3, 137, 411

402 : 1, 2, 3, 6, 67, 134, 201, 402

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,600,411,402, is 3.

Now, the common factors can be found like this.

564:2x 2x 3x 47

600:2x 2x 2x 3x 5x 5

411:3x 137

402:2x 3x 67

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 55911124800/(3x72)

LCM = 55911124800/216

LCM = 258847800

Thus, we can understand that the LCM of 564,600,411,402 is 258847800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 600, 411, 402

1. What is the LCM of 564, 600, 411, 402?

Answer: LCM of 564, 600, 411, 402 is 258847800.

2. How to calculate the LCM of 564, 600, 411, 402?

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 564, 600, 411, 402.

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}.