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LCM of 344, 298, 572, 704

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


Find the LCM of 344, 298, 572, 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 344, 298, 572, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,298,572,704

Given numbers are 344,298,572,704

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

The LCM of 344,298,572,704 is 58636864.

Find LCM of 344,298,572,704 with Prime Factorization


2 344, 298, 572, 704
2 172, 149, 286, 352
2 86, 149, 143, 176
11 43, 149, 143, 88
43, 149, 13, 8

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

2 x 2 x 2 x 11 x 43 x 149 x 13 x 8 = 58636864

Therefore, the lowest common multiple of 344,298,572,704 is 58636864.

LCM Formula to Find Lowest Common Multiple of 344,298,572,704

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.

344 x 298 x 572 x 704 = 41280352256

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

298 : 1, 2, 149, 298

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,298,572,704, is 2.

Now, the common factors can be found like this.

344:2x 2x 2x 43

298:2x 149

572:2x 2x 11x 13

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 = 41280352256/(2x352)

LCM = 41280352256/704

LCM = 58636864

Thus, we can understand that the LCM of 344,298,572,704 is 58636864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 298, 572, 704

1. What is the LCM of 344, 298, 572, 704?

Answer: LCM of 344, 298, 572, 704 is 58636864.

2. How to calculate the LCM of 344, 298, 572, 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 344, 298, 572, 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}.