Given numbers are 470,544,424,644,431

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

The LCM of 470,544,424,644,431 is 470160108320.

Find LCM of 470,544,424,644,431 with Prime Factorization

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

2 x 2 x 2 x 235 x 68 x 53 x 161 x 431 = 470160108320

Therefore, the lowest common multiple of 470,544,424,644,431 is 470160108320.

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.

470 x 544 x 424 x 644 x 431 = 30090246932480

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,544,424,644,431, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

544:2x 2x 2x 2x 2x 17

424:2x 2x 2x 53

644:2x 2x 7x 23

431:431

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 2 = 64

Therefore, the value for common factors is 64.

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 = 30090246932480/(1x64)

LCM = 30090246932480/64

LCM = 470160108320

Thus, we can understand that the LCM of 470,544,424,644,431 is 470160108320.

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

• LCM of 680, 478, 310, 490, 101
• LCM of 164, 771, 567, 454, 142
• LCM of 828, 816, 300, 889, 426
• LCM of 510, 860, 734, 806, 215
• LCM of 379, 311, 983, 729, 806

1. What is the LCM of 470, 544, 424, 644, 431?

Answer: LCM of 470, 544, 424, 644, 431 is 470160108320.

2. How to calculate the LCM of 470, 544, 424, 644, 431?

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 470, 544, 424, 644, 431.

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}.