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LCM of 420, 168, 597, 448, 816

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


Find the LCM of 420, 168, 597, 448, 816 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 420, 168, 597, 448, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,168,597,448,816

Given numbers are 420,168,597,448,816

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

The LCM of 420,168,597,448,816 is 22733760.

Find LCM of 420,168,597,448,816 with Prime Factorization


2 420, 168, 597, 448, 816
2 210, 84, 597, 224, 408
2 105, 42, 597, 112, 204
2 105, 21, 597, 56, 102
3 105, 21, 597, 28, 51
7 35, 7, 199, 28, 17
5, 1, 199, 4, 17

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

2 x 2 x 2 x 2 x 3 x 7 x 5 x 1 x 199 x 4 x 17 = 22733760

Therefore, the lowest common multiple of 420,168,597,448,816 is 22733760.

LCM Formula to Find Lowest Common Multiple of 420,168,597,448,816

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.

420 x 168 x 597 x 448 x 816 = 15399303413760

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

597 : 1, 3, 199, 597

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,168,597,448,816, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

168:2x 2x 2x 3x 7

597:3x 199

448:2x 2x 2x 2x 2x 2x 7

816:2x 2x 2x 2x 3x 17

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 2x 2x 2x 2x 2x 2x 3x 3x 3x 7x 7 = 677376

Therefore, the value for common factors is 677376.

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 = 15399303413760/(1x677376)

LCM = 15399303413760/677376

LCM = 22733760

Thus, we can understand that the LCM of 420,168,597,448,816 is 22733760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 168, 597, 448, 816

1. What is the LCM of 420, 168, 597, 448, 816?

Answer: LCM of 420, 168, 597, 448, 816 is 22733760.

2. How to calculate the LCM of 420, 168, 597, 448, 816?

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 420, 168, 597, 448, 816.

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}.