Given numbers are 470,477,495,624,335

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

The LCM of 470,477,495,624,335 is 17183715120.

Find LCM of 470,477,495,624,335 with Prime Factorization

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

2 x 3 x 3 x 5 x 47 x 53 x 11 x 104 x 67 = 17183715120

Therefore, the lowest common multiple of 470,477,495,624,335 is 17183715120.

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 477 x 495 x 624 x 335 = 23198015412000

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

477 : 1, 3, 9, 53, 159, 477

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,477,495,624,335, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

477:3x 3x 53

495:3x 3x 5x 11

624:2x 2x 2x 2x 3x 13

335:5x 67

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 23198015412000/(1x1350)

LCM = 23198015412000/1350

LCM = 17183715120

Thus, we can understand that the LCM of 470,477,495,624,335 is 17183715120.

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

• LCM of 582, 143, 497, 142, 863
• LCM of 277, 441, 254, 914, 127
• LCM of 875, 945, 779, 584, 145
• LCM of 836, 821, 297, 627, 715
• LCM of 572, 115, 817, 947, 741

1. What is the LCM of 470, 477, 495, 624, 335?

Answer: LCM of 470, 477, 495, 624, 335 is 17183715120.

2. How to calculate the LCM of 470, 477, 495, 624, 335?

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, 477, 495, 624, 335.

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}.