Given numbers are 516,624,984,190,467

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

The LCM of 516,624,984,190,467 is 48806468880.

Find LCM of 516,624,984,190,467 with Prime Factorization

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

2 x 2 x 2 x 3 x 43 x 26 x 41 x 95 x 467 = 48806468880

Therefore, the lowest common multiple of 516,624,984,190,467 is 48806468880.

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 624 x 984 x 190 x 467 = 28112526074880

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

190 : 1, 2, 5, 10, 19, 38, 95, 190

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,624,984,190,467, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

624:2x 2x 2x 2x 3x 13

984:2x 2x 2x 3x 41

190:2x 5x 19

467:467

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 3 = 576

Therefore, the value for common factors is 576.

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 = 28112526074880/(1x576)

LCM = 28112526074880/576

LCM = 48806468880

Thus, we can understand that the LCM of 516,624,984,190,467 is 48806468880.

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

• LCM of 201, 536, 105, 104, 532
• LCM of 425, 927, 880, 532, 120
• LCM of 799, 546, 416, 835, 103
• LCM of 590, 471, 818, 754, 491
• LCM of 117, 740, 442, 301, 861

1. What is the LCM of 516, 624, 984, 190, 467?

Answer: LCM of 516, 624, 984, 190, 467 is 48806468880.

2. How to calculate the LCM of 516, 624, 984, 190, 467?

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, 624, 984, 190, 467.

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}.