Given numbers are 487,461,523,828,670

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

The LCM of 487,461,523,828,670 is 32569172118180.

Find LCM of 487,461,523,828,670 with Prime Factorization

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

2 x 487 x 461 x 523 x 414 x 335 = 32569172118180

Therefore, the lowest common multiple of 487,461,523,828,670 is 32569172118180.

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.

487 x 461 x 523 x 828 x 670 = 65138344236360

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.

487 : 1, 487

461 : 1, 461

523 : 1, 523

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,461,523,828,670, is 1.

Now, the common factors can be found like this.

487:487

461:461

523:523

828:2x 2x 3x 3x 23

670:2x 5x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 65138344236360/(1x2)

LCM = 65138344236360/2

LCM = 32569172118180

Thus, we can understand that the LCM of 487,461,523,828,670 is 32569172118180.

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

• LCM of 684, 690, 142, 508, 659
• LCM of 961, 940, 543, 851, 810
• LCM of 777, 822, 631, 592, 955
• LCM of 901, 505, 517, 645, 319
• LCM of 545, 332, 756, 839, 880

1. What is the LCM of 487, 461, 523, 828, 670?

Answer: LCM of 487, 461, 523, 828, 670 is 32569172118180.

2. How to calculate the LCM of 487, 461, 523, 828, 670?

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 487, 461, 523, 828, 670.

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}.