Given numbers are 516,414,968,874,720

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

The LCM of 516,414,968,874,720 is 1637071920.

Find LCM of 516,414,968,874,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 43 x 1 x 121 x 19 x 10 = 1637071920

Therefore, the lowest common multiple of 516,414,968,874,720 is 1637071920.

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.

516 x 414 x 968 x 874 x 720 = 130127572776960

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,414,968,874,720, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

414:2x 3x 3x 23

968:2x 2x 2x 11x 11

874:2x 19x 23

720:2x 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 2x 2x 3x 3x 3x 23 = 39744

Therefore, the value for common factors is 39744.

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 = 130127572776960/(2x39744)

LCM = 130127572776960/79488

LCM = 1637071920

Thus, we can understand that the LCM of 516,414,968,874,720 is 1637071920.

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

• LCM of 232, 850, 151, 349, 754
• LCM of 968, 113, 316, 254, 610
• LCM of 253, 351, 298, 540, 123
• LCM of 981, 193, 271, 751, 467
• LCM of 777, 989, 590, 260, 159

1. What is the LCM of 516, 414, 968, 874, 720?

Answer: LCM of 516, 414, 968, 874, 720 is 1637071920.

2. How to calculate the LCM of 516, 414, 968, 874, 720?

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 516, 414, 968, 874, 720.

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}.