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LCM of 808, 276, 748, 704

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


Find the LCM of 808, 276, 748, 704 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 808, 276, 748, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,276,748,704

Given numbers are 808,276,748,704

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

The LCM of 808,276,748,704 is 83404992.

Find LCM of 808,276,748,704 with Prime Factorization


2 808, 276, 748, 704
2 404, 138, 374, 352
2 202, 69, 187, 176
11 101, 69, 187, 88
101, 69, 17, 8

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

2 x 2 x 2 x 11 x 101 x 69 x 17 x 8 = 83404992

Therefore, the lowest common multiple of 808,276,748,704 is 83404992.

LCM Formula to Find Lowest Common Multiple of 808,276,748,704

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.

808 x 276 x 748 x 704 = 117434228736

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,276,748,704, is 4.

Now, the common factors can be found like this.

808:2x 2x 2x 101

276:2x 2x 3x 23

748:2x 2x 11x 17

704:2x 2x 2x 2x 2x 2x 11

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 11 = 352

Therefore, the value for common factors is 352.

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 = 117434228736/(4x352)

LCM = 117434228736/1408

LCM = 83404992

Thus, we can understand that the LCM of 808,276,748,704 is 83404992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 276, 748, 704

1. What is the LCM of 808, 276, 748, 704?

Answer: LCM of 808, 276, 748, 704 is 83404992.

2. How to calculate the LCM of 808, 276, 748, 704?

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 808, 276, 748, 704.

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}.