Given numbers are 764,290,470,874,360

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

The LCM of 764,290,470,874,360 is 40955587560.

Find LCM of 764,290,470,874,360 with Prime Factorization

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

2 x 2 x 5 x 191 x 29 x 47 x 437 x 18 = 40955587560

Therefore, the lowest common multiple of 764,290,470,874,360 is 40955587560.

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.

764 x 290 x 470 x 874 x 360 = 32764470048000

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.

764 : 1, 2, 4, 191, 382, 764

290 : 1, 2, 5, 10, 29, 58, 145, 290

470 : 1, 2, 5, 10, 47, 94, 235, 470

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,290,470,874,360, is 2.

Now, the common factors can be found like this.

764:2x 2x 191

290:2x 5x 29

470:2x 5x 47

874:2x 19x 23

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

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 32764470048000/(2x400)

LCM = 32764470048000/800

LCM = 40955587560

Thus, we can understand that the LCM of 764,290,470,874,360 is 40955587560.

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

• LCM of 470, 763, 939, 906, 711
• LCM of 533, 888, 662, 483, 477
• LCM of 522, 994, 162, 481, 404
• LCM of 607, 186, 549, 155, 706
• LCM of 563, 497, 468, 396, 978

1. What is the LCM of 764, 290, 470, 874, 360?

Answer: LCM of 764, 290, 470, 874, 360 is 40955587560.

2. How to calculate the LCM of 764, 290, 470, 874, 360?

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 764, 290, 470, 874, 360.

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}.