Given numbers are 414,238,516,587,780

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

The LCM of 414,238,516,587,780 is 161658003780.

Find LCM of 414,238,516,587,780 with Prime Factorization

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

2 x 2 x 3 x 69 x 119 x 43 x 587 x 65 = 161658003780

Therefore, the lowest common multiple of 414,238,516,587,780 is 161658003780.

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.

414 x 238 x 516 x 587 x 780 = 23278752544320

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.

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

587 : 1, 587

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,238,516,587,780, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

238:2x 7x 17

516:2x 2x 3x 43

587:587

780:2x 2x 3x 5x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 23278752544320/(1x144)

LCM = 23278752544320/144

LCM = 161658003780

Thus, we can understand that the LCM of 414,238,516,587,780 is 161658003780.

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

• LCM of 661, 263, 619, 732, 234
• LCM of 650, 134, 575, 807, 647
• LCM of 346, 554, 298, 541, 520
• LCM of 998, 970, 456, 146, 872
• LCM of 970, 815, 945, 163, 573

1. What is the LCM of 414, 238, 516, 587, 780?

Answer: LCM of 414, 238, 516, 587, 780 is 161658003780.

2. How to calculate the LCM of 414, 238, 516, 587, 780?

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 414, 238, 516, 587, 780.

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}.