Given numbers are 758,214,407

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

The LCM of 758,214,407 is 33010142.

Find LCM of 758,214,407 with Prime Factorization

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

2 x 379 x 107 x 407 = 33010142

Therefore, the lowest common multiple of 758,214,407 is 33010142.

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.

758 x 214 x 407 = 66020284

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.

758 : 1, 2, 379, 758

214 : 1, 2, 107, 214

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,214,407, is 1.

Now, the common factors can be found like this.

758:2x 379

214:2x 107

407:11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66020284/(1x2)

LCM = 66020284/2

LCM = 33010142

Thus, we can understand that the LCM of 758,214,407 is 33010142.

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

• LCM of 831, 123, 171
• LCM of 803, 178, 168
• LCM of 590, 868, 943
• LCM of 638, 992, 476
• LCM of 461, 584, 587

1. What is the LCM of 758, 214, 407?

Answer: LCM of 758, 214, 407 is 33010142.

2. How to calculate the LCM of 758, 214, 407?

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 758, 214, 407.

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}.