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LCM of 391, 718, 319, 704

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


Find the LCM of 391, 718, 319, 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 391, 718, 319, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,718,319,704

Given numbers are 391,718,319,704

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

The LCM of 391,718,319,704 is 2865773504.

Find LCM of 391,718,319,704 with Prime Factorization


2 391, 718, 319, 704
11 391, 359, 319, 352
391, 359, 29, 32

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

2 x 11 x 391 x 359 x 29 x 32 = 2865773504

Therefore, the lowest common multiple of 391,718,319,704 is 2865773504.

LCM Formula to Find Lowest Common Multiple of 391,718,319,704

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.

391 x 718 x 319 x 704 = 63047017088

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.

391 : 1, 17, 23, 391

718 : 1, 2, 359, 718

319 : 1, 11, 29, 319

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,718,319,704, is 1.

Now, the common factors can be found like this.

391:17x 23

718:2x 359

319:11x 29

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 11 = 22

Therefore, the value for common factors is 22.

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 = 63047017088/(1x22)

LCM = 63047017088/22

LCM = 2865773504

Thus, we can understand that the LCM of 391,718,319,704 is 2865773504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 718, 319, 704

1. What is the LCM of 391, 718, 319, 704?

Answer: LCM of 391, 718, 319, 704 is 2865773504.

2. How to calculate the LCM of 391, 718, 319, 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 391, 718, 319, 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}.