Given numbers are 536,314,968,809,840

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

The LCM of 536,314,968,809,840 is 864943288440.

Find LCM of 536,314,968,809,840 with Prime Factorization

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

2 x 2 x 2 x 67 x 157 x 121 x 809 x 105 = 864943288440

Therefore, the lowest common multiple of 536,314,968,809,840 is 864943288440.

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.

536 x 314 x 968 x 809 x 840 = 110712740920320

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

314 : 1, 2, 157, 314

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

809 : 1, 809

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,314,968,809,840, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

314:2x 157

968:2x 2x 2x 11x 11

809:809

840:2x 2x 2x 3x 5x 7

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 2 = 128

Therefore, the value for common factors is 128.

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 = 110712740920320/(1x128)

LCM = 110712740920320/128

LCM = 864943288440

Thus, we can understand that the LCM of 536,314,968,809,840 is 864943288440.

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

• LCM of 749, 375, 987, 586, 184
• LCM of 780, 329, 131, 381, 693
• LCM of 595, 378, 880, 917, 558
• LCM of 825, 665, 665, 825, 263
• LCM of 163, 824, 220, 937, 665

1. What is the LCM of 536, 314, 968, 809, 840?

Answer: LCM of 536, 314, 968, 809, 840 is 864943288440.

2. How to calculate the LCM of 536, 314, 968, 809, 840?

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 536, 314, 968, 809, 840.

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}.