Given numbers are 107,353,214,160,444

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

The LCM of 107,353,214,160,444 is 670812960.

Find LCM of 107,353,214,160,444 with Prime Factorization

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

2 x 2 x 107 x 1 x 353 x 1 x 40 x 111 = 670812960

Therefore, the lowest common multiple of 107,353,214,160,444 is 670812960.

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.

107 x 353 x 214 x 160 x 444 = 574215893760

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.

107 : 1, 107

353 : 1, 353

214 : 1, 2, 107, 214

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,353,214,160,444, is 1.

Now, the common factors can be found like this.

107:107

353:353

214:2x 107

160:2x 2x 2x 2x 2x 5

444:2x 2x 3x 37

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 107 = 856

Therefore, the value for common factors is 856.

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 = 574215893760/(1x856)

LCM = 574215893760/856

LCM = 670812960

Thus, we can understand that the LCM of 107,353,214,160,444 is 670812960.

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

• LCM of 408, 240, 716, 520, 438
• LCM of 129, 261, 832, 150, 227
• LCM of 235, 978, 507, 118, 792
• LCM of 810, 790, 518, 724, 537
• LCM of 171, 318, 600, 663, 329

1. What is the LCM of 107, 353, 214, 160, 444?

Answer: LCM of 107, 353, 214, 160, 444 is 670812960.

2. How to calculate the LCM of 107, 353, 214, 160, 444?

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 107, 353, 214, 160, 444.

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}.