Given numbers are 743,408,968,668,880

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

The LCM of 743,408,968,668,880 is 61256308080.

Find LCM of 743,408,968,668,880 with Prime Factorization

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

2 x 2 x 2 x 11 x 743 x 51 x 11 x 167 x 10 = 61256308080

Therefore, the lowest common multiple of 743,408,968,668,880 is 61256308080.

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.

743 x 408 x 968 x 668 x 880 = 172497763553280

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.

743 : 1, 743

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

668 : 1, 2, 4, 167, 334, 668

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 743,408,968,668,880, is 1.

Now, the common factors can be found like this.

743:743

408:2x 2x 2x 3x 17

968:2x 2x 2x 11x 11

668:2x 2x 167

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 2x 2x 2x 2x 2x 11 = 2816

Therefore, the value for common factors is 2816.

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 = 172497763553280/(1x2816)

LCM = 172497763553280/2816

LCM = 61256308080

Thus, we can understand that the LCM of 743,408,968,668,880 is 61256308080.

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

• LCM of 421, 985, 826, 313, 743
• LCM of 604, 669, 993, 502, 184
• LCM of 455, 448, 711, 611, 262
• LCM of 945, 150, 910, 286, 505
• LCM of 948, 859, 509, 442, 916

1. What is the LCM of 743, 408, 968, 668, 880?

Answer: LCM of 743, 408, 968, 668, 880 is 61256308080.

2. How to calculate the LCM of 743, 408, 968, 668, 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 743, 408, 968, 668, 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}.