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LCM of 704, 287, 714, 567

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


Find the LCM of 704, 287, 714, 567 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 704, 287, 714, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,287,714,567

Given numbers are 704,287,714,567

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

The LCM of 704,287,714,567 is 278220096.

Find LCM of 704,287,714,567 with Prime Factorization


2 704, 287, 714, 567
3 352, 287, 357, 567
7 352, 287, 119, 189
352, 41, 17, 27

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

2 x 3 x 7 x 352 x 41 x 17 x 27 = 278220096

Therefore, the lowest common multiple of 704,287,714,567 is 278220096.

LCM Formula to Find Lowest Common Multiple of 704,287,714,567

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.

704 x 287 x 714 x 567 = 81796708224

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.

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

287 : 1, 7, 41, 287

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,287,714,567, is 1.

Now, the common factors can be found like this.

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

287:7x 41

714:2x 3x 7x 17

567:3x 3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 81796708224/(1x294)

LCM = 81796708224/294

LCM = 278220096

Thus, we can understand that the LCM of 704,287,714,567 is 278220096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 287, 714, 567

1. What is the LCM of 704, 287, 714, 567?

Answer: LCM of 704, 287, 714, 567 is 278220096.

2. How to calculate the LCM of 704, 287, 714, 567?

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 704, 287, 714, 567.

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}.