Given numbers are 470,615,900,743,880

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

The LCM of 470,615,900,743,880 is 56697735600.

Find LCM of 470,615,900,743,880 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 41 x 15 x 743 x 44 = 56697735600

Therefore, the lowest common multiple of 470,615,900,743,880 is 56697735600.

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 615 x 900 x 743 x 880 = 170093206800000

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

615 : 1, 3, 5, 15, 41, 123, 205, 615

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

743 : 1, 743

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,615,900,743,880, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

615:3x 5x 41

900:2x 2x 3x 3x 5x 5

743:743

880:2x 2x 2x 2x 5x 11

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 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 170093206800000/(1x3000)

LCM = 170093206800000/3000

LCM = 56697735600

Thus, we can understand that the LCM of 470,615,900,743,880 is 56697735600.

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

• LCM of 691, 341, 408, 753, 880
• LCM of 955, 611, 455, 676, 184
• LCM of 300, 402, 162, 173, 350
• LCM of 106, 176, 782, 692, 930
• LCM of 215, 663, 134, 263, 706

1. What is the LCM of 470, 615, 900, 743, 880?

Answer: LCM of 470, 615, 900, 743, 880 is 56697735600.

2. How to calculate the LCM of 470, 615, 900, 743, 880?

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, 615, 900, 743, 880.

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}.