Given numbers are 920,160,408,424,302

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

The LCM of 920,160,408,424,302 is 1502003040.

Find LCM of 920,160,408,424,302 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 4 x 51 x 53 x 151 = 1502003040

Therefore, the lowest common multiple of 920,160,408,424,302 is 1502003040.

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.

920 x 160 x 408 x 424 x 302 = 7690255564800

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,160,408,424,302, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

160:2x 2x 2x 2x 2x 5

408:2x 2x 2x 3x 17

424:2x 2x 2x 53

302:2x 151

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 2x 2x 2x 5 = 2560

Therefore, the value for common factors is 2560.

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 = 7690255564800/(2x2560)

LCM = 7690255564800/5120

LCM = 1502003040

Thus, we can understand that the LCM of 920,160,408,424,302 is 1502003040.

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

• LCM of 601, 250, 398, 501, 234
• LCM of 439, 697, 829, 563, 219
• LCM of 724, 711, 493, 199, 969
• LCM of 109, 831, 606, 449, 521
• LCM of 819, 705, 677, 797, 175

1. What is the LCM of 920, 160, 408, 424, 302?

Answer: LCM of 920, 160, 408, 424, 302 is 1502003040.

2. How to calculate the LCM of 920, 160, 408, 424, 302?

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 920, 160, 408, 424, 302.

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}.