Given numbers are 380,114,201,968,656

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

The LCM of 380,114,201,968,656 is 1515684720.

Find LCM of 380,114,201,968,656 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 5 x 1 x 67 x 121 x 82 = 1515684720

Therefore, the lowest common multiple of 380,114,201,968,656 is 1515684720.

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.

380 x 114 x 201 x 968 x 656 = 5529217858560

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

114 : 1, 2, 3, 6, 19, 38, 57, 114

201 : 1, 3, 67, 201

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,114,201,968,656, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

114:2x 3x 19

201:3x 67

968:2x 2x 2x 11x 11

656:2x 2x 2x 2x 41

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 2x 2x 3x 19 = 3648

Therefore, the value for common factors is 3648.

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 = 5529217858560/(1x3648)

LCM = 5529217858560/3648

LCM = 1515684720

Thus, we can understand that the LCM of 380,114,201,968,656 is 1515684720.

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

• LCM of 732, 483, 849, 808, 595
• LCM of 984, 603, 896, 803, 965
• LCM of 456, 421, 458, 144, 343
• LCM of 184, 775, 732, 935, 389
• LCM of 199, 596, 803, 340, 395

1. What is the LCM of 380, 114, 201, 968, 656?

Answer: LCM of 380, 114, 201, 968, 656 is 1515684720.

2. How to calculate the LCM of 380, 114, 201, 968, 656?

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 380, 114, 201, 968, 656.

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}.