Given numbers are 407,473,467,968

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

The LCM of 407,473,467,968 is 719221096.

Find LCM of 407,473,467,968 with Prime Factorization

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

11 x 37 x 43 x 467 x 88 = 719221096

Therefore, the lowest common multiple of 407,473,467,968 is 719221096.

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.

407 x 473 x 467 x 968 = 87025752616

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.

407 : 1, 11, 37, 407

473 : 1, 11, 43, 473

467 : 1, 467

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,473,467,968, is 1.

Now, the common factors can be found like this.

407:11x 37

473:11x 43

467:467

968:2x 2x 2x 11x 11

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 87025752616/(1x121)

LCM = 87025752616/121

LCM = 719221096

Thus, we can understand that the LCM of 407,473,467,968 is 719221096.

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

• LCM of 223, 497, 306, 906
• LCM of 399, 154, 274, 954
• LCM of 510, 274, 290, 963
• LCM of 985, 328, 592, 964
• LCM of 443, 119, 604, 870

1. What is the LCM of 407, 473, 467, 968?

Answer: LCM of 407, 473, 467, 968 is 719221096.

2. How to calculate the LCM of 407, 473, 467, 968?

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 407, 473, 467, 968.

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}.