Given numbers are 369,493,560,736

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

The LCM of 369,493,560,736 is 4686181920.

Find LCM of 369,493,560,736 with Prime Factorization

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

2 x 2 x 2 x 2 x 369 x 493 x 35 x 46 = 4686181920

Therefore, the lowest common multiple of 369,493,560,736 is 4686181920.

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.

369 x 493 x 560 x 736 = 74978910720

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.

369 : 1, 3, 9, 41, 123, 369

493 : 1, 17, 29, 493

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,493,560,736, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

493:17x 29

560:2x 2x 2x 2x 5x 7

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

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 2 = 16

Therefore, the value for common factors is 16.

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 = 74978910720/(1x16)

LCM = 74978910720/16

LCM = 4686181920

Thus, we can understand that the LCM of 369,493,560,736 is 4686181920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 513, 289, 228, 685
• LCM of 215, 491, 121, 122
• LCM of 345, 466, 240, 981
• LCM of 397, 407, 151, 507
• LCM of 159, 231, 740, 512

1. What is the LCM of 369, 493, 560, 736?

Answer: LCM of 369, 493, 560, 736 is 4686181920.

2. How to calculate the LCM of 369, 493, 560, 736?

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 369, 493, 560, 736.

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}.