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LCM of 736, 351, 446, 686

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


Find the LCM of 736, 351, 446, 686 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 736, 351, 446, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,351,446,686

Given numbers are 736,351,446,686

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

The LCM of 736,351,446,686 is 19759862304.

Find LCM of 736,351,446,686 with Prime Factorization


2 736, 351, 446, 686
368, 351, 223, 343

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

2 x 368 x 351 x 223 x 343 = 19759862304

Therefore, the lowest common multiple of 736,351,446,686 is 19759862304.

LCM Formula to Find Lowest Common Multiple of 736,351,446,686

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.

736 x 351 x 446 x 686 = 79039449216

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

351 : 1, 3, 9, 13, 27, 39, 117, 351

446 : 1, 2, 223, 446

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,351,446,686, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

351:3x 3x 3x 13

446:2x 223

686:2x 7x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 79039449216/(1x4)

LCM = 79039449216/4

LCM = 19759862304

Thus, we can understand that the LCM of 736,351,446,686 is 19759862304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 351, 446, 686

1. What is the LCM of 736, 351, 446, 686?

Answer: LCM of 736, 351, 446, 686 is 19759862304.

2. How to calculate the LCM of 736, 351, 446, 686?

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 736, 351, 446, 686.

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}.