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LCM of 480, 784, 156, 977

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


Find the LCM of 480, 784, 156, 977 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 480, 784, 156, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,784,156,977

Given numbers are 480,784,156,977

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

The LCM of 480,784,156,977 is 298727520.

Find LCM of 480,784,156,977 with Prime Factorization


2 480, 784, 156, 977
2 240, 392, 78, 977
2 120, 196, 39, 977
2 60, 98, 39, 977
3 30, 49, 39, 977
10, 49, 13, 977

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

2 x 2 x 2 x 2 x 3 x 10 x 49 x 13 x 977 = 298727520

Therefore, the lowest common multiple of 480,784,156,977 is 298727520.

LCM Formula to Find Lowest Common Multiple of 480,784,156,977

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.

480 x 784 x 156 x 977 = 57355683840

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,784,156,977, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

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

156:2x 2x 3x 13

977:977

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 3 = 192

Therefore, the value for common factors is 192.

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 = 57355683840/(1x192)

LCM = 57355683840/192

LCM = 298727520

Thus, we can understand that the LCM of 480,784,156,977 is 298727520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 784, 156, 977

1. What is the LCM of 480, 784, 156, 977?

Answer: LCM of 480, 784, 156, 977 is 298727520.

2. How to calculate the LCM of 480, 784, 156, 977?

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 480, 784, 156, 977.

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}.