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LCM of 480, 824, 476

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


Find the LCM of 480, 824, 476 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, 824, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,824,476

Given numbers are 480,824,476

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

The LCM of 480,824,476 is 5883360.

Find LCM of 480,824,476 with Prime Factorization


2 480, 824, 476
2 240, 412, 238
2 120, 206, 119
60, 103, 119

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

2 x 2 x 2 x 60 x 103 x 119 = 5883360

Therefore, the lowest common multiple of 480,824,476 is 5883360.

LCM Formula to Find Lowest Common Multiple of 480,824,476

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 824 x 476 = 188267520

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,824,476, is 4.

Now, the common factors can be found like this.

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

824:2x 2x 2x 103

476:2x 2x 7x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 188267520/(4x8)

LCM = 188267520/32

LCM = 5883360

Thus, we can understand that the LCM of 480,824,476 is 5883360.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 480, 824, 476

1. What is the LCM of 480, 824, 476?

Answer: LCM of 480, 824, 476 is 5883360.

2. How to calculate the LCM of 480, 824, 476?

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, 824, 476.

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}.