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LCM of 551, 963, 784, 420, 900

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


Find the LCM of 551, 963, 784, 420, 900 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 551, 963, 784, 420, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,963,784,420,900

Given numbers are 551,963,784,420,900

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

The LCM of 551,963,784,420,900 is 10400014800.

Find LCM of 551,963,784,420,900 with Prime Factorization


2 551, 963, 784, 420, 900
2 551, 963, 392, 210, 450
3 551, 963, 196, 105, 225
3 551, 321, 196, 35, 75
5 551, 107, 196, 35, 25
7 551, 107, 196, 7, 5
551, 107, 28, 1, 5

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

2 x 2 x 3 x 3 x 5 x 7 x 551 x 107 x 28 x 1 x 5 = 10400014800

Therefore, the lowest common multiple of 551,963,784,420,900 is 10400014800.

LCM Formula to Find Lowest Common Multiple of 551,963,784,420,900

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.

551 x 963 x 784 x 420 x 900 = 157248223776000

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.

551 : 1, 19, 29, 551

963 : 1, 3, 9, 107, 321, 963

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,963,784,420,900, is 1.

Now, the common factors can be found like this.

551:19x 29

963:3x 3x 107

784:2x 2x 2x 2x 7x 7

420:2x 2x 3x 5x 7

900:2x 2x 3x 3x 5x 5

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 3x 3x 3x 5x 7 = 15120

Therefore, the value for common factors is 15120.

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 = 157248223776000/(1x15120)

LCM = 157248223776000/15120

LCM = 10400014800

Thus, we can understand that the LCM of 551,963,784,420,900 is 10400014800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 963, 784, 420, 900

1. What is the LCM of 551, 963, 784, 420, 900?

Answer: LCM of 551, 963, 784, 420, 900 is 10400014800.

2. How to calculate the LCM of 551, 963, 784, 420, 900?

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 551, 963, 784, 420, 900.

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}.