Given numbers are 540,968,796,374

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

The LCM of 540,968,796,374 is 442090440.

Find LCM of 540,968,796,374 with Prime Factorization

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

2 x 2 x 11 x 135 x 22 x 199 x 17 = 442090440

Therefore, the lowest common multiple of 540,968,796,374 is 442090440.

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.

540 x 968 x 796 x 374 = 155615834880

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

796 : 1, 2, 4, 199, 398, 796

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,968,796,374, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

968:2x 2x 2x 11x 11

796:2x 2x 199

374:2x 11x 17

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 11 = 176

Therefore, the value for common factors is 176.

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 = 155615834880/(2x176)

LCM = 155615834880/352

LCM = 442090440

Thus, we can understand that the LCM of 540,968,796,374 is 442090440.

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

• LCM of 821, 197, 850, 647
• LCM of 694, 516, 447, 862
• LCM of 329, 407, 267, 247
• LCM of 988, 572, 140, 426
• LCM of 701, 464, 759, 384

1. What is the LCM of 540, 968, 796, 374?

Answer: LCM of 540, 968, 796, 374 is 442090440.

2. How to calculate the LCM of 540, 968, 796, 374?

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 540, 968, 796, 374.

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}.