Given numbers are 360,341,362,790

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

The LCM of 360,341,362,790 is 1755345240.

Find LCM of 360,341,362,790 with Prime Factorization

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

2 x 5 x 36 x 341 x 181 x 79 = 1755345240

Therefore, the lowest common multiple of 360,341,362,790 is 1755345240.

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.

360 x 341 x 362 x 790 = 35106904800

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

341 : 1, 11, 31, 341

362 : 1, 2, 181, 362

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,341,362,790, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

341:11x 31

362:2x 181

790:2x 5x 79

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 5 = 20

Therefore, the value for common factors is 20.

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 = 35106904800/(1x20)

LCM = 35106904800/20

LCM = 1755345240

Thus, we can understand that the LCM of 360,341,362,790 is 1755345240.

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

• LCM of 328, 578, 155, 976
• LCM of 885, 227, 650, 563
• LCM of 105, 581, 602, 532
• LCM of 399, 566, 827, 713
• LCM of 933, 949, 748, 647

1. What is the LCM of 360, 341, 362, 790?

Answer: LCM of 360, 341, 362, 790 is 1755345240.

2. How to calculate the LCM of 360, 341, 362, 790?

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 360, 341, 362, 790.

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}.