Given numbers are 487,273,828,946,644

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

The LCM of 487,273,828,946,644 is 17356487148.

Find LCM of 487,273,828,946,644 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 487 x 13 x 3 x 473 x 1 = 17356487148

Therefore, the lowest common multiple of 487,273,828,946,644 is 17356487148.

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 273 x 828 x 946 x 644 = 67065466339872

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,273,828,946,644, is 1.

Now, the common factors can be found like this.

487:487

273:3x 7x 13

828:2x 2x 3x 3x 23

946:2x 11x 43

644:2x 2x 7x 23

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 3x 7x 23 = 3864

Therefore, the value for common factors is 3864.

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 = 67065466339872/(1x3864)

LCM = 67065466339872/3864

LCM = 17356487148

Thus, we can understand that the LCM of 487,273,828,946,644 is 17356487148.

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

• LCM of 975, 539, 897, 747, 850
• LCM of 826, 104, 374, 607, 343
• LCM of 433, 670, 739, 753, 481
• LCM of 947, 897, 903, 694, 885
• LCM of 294, 443, 933, 870, 818

1. What is the LCM of 487, 273, 828, 946, 644?

Answer: LCM of 487, 273, 828, 946, 644 is 17356487148.

2. How to calculate the LCM of 487, 273, 828, 946, 644?

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, 273, 828, 946, 644.

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}.