Given numbers are 536,874,214,804,992

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

The LCM of 536,874,214,804,992 is 9323370528.

Find LCM of 536,874,214,804,992 with Prime Factorization

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

2 x 2 x 2 x 67 x 1 x 437 x 107 x 3 x 124 = 9323370528

Therefore, the lowest common multiple of 536,874,214,804,992 is 9323370528.

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 874 x 214 x 804 x 992 = 79957225648128

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

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

214 : 1, 2, 107, 214

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,874,214,804,992, is 2.

Now, the common factors can be found like this.

536:2x 2x 2x 67

874:2x 19x 23

214:2x 107

804:2x 2x 3x 67

992:2x 2x 2x 2x 2x 31

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 67 = 4288

Therefore, the value for common factors is 4288.

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 = 79957225648128/(2x4288)

LCM = 79957225648128/8576

LCM = 9323370528

Thus, we can understand that the LCM of 536,874,214,804,992 is 9323370528.

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

• LCM of 193, 545, 205, 927, 123
• LCM of 726, 194, 956, 149, 809
• LCM of 690, 730, 312, 213, 576
• LCM of 664, 841, 340, 983, 863
• LCM of 612, 843, 635, 968, 233

1. What is the LCM of 536, 874, 214, 804, 992?

Answer: LCM of 536, 874, 214, 804, 992 is 9323370528.

2. How to calculate the LCM of 536, 874, 214, 804, 992?

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, 874, 214, 804, 992.

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}.