Given numbers are 107,147,964,365,214

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

The LCM of 107,147,964,365,214 is 5534405940.

Find LCM of 107,147,964,365,214 with Prime Factorization

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

2 x 107 x 1 x 147 x 482 x 365 x 1 = 5534405940

Therefore, the lowest common multiple of 107,147,964,365,214 is 5534405940.

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 147 x 964 x 365 x 214 = 1184362871160

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

147 : 1, 3, 7, 21, 49, 147

964 : 1, 2, 4, 241, 482, 964

365 : 1, 5, 73, 365

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,147,964,365,214, is 1.

Now, the common factors can be found like this.

107:107

147:3x 7x 7

964:2x 2x 241

365:5x 73

214:2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 1184362871160/(1x214)

LCM = 1184362871160/214

LCM = 5534405940

Thus, we can understand that the LCM of 107,147,964,365,214 is 5534405940.

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

• LCM of 833, 473, 831, 528, 520
• LCM of 734, 595, 136, 737, 669
• LCM of 313, 723, 179, 790, 971
• LCM of 787, 490, 303, 484, 579
• LCM of 344, 299, 392, 956, 461

1. What is the LCM of 107, 147, 964, 365, 214?

Answer: LCM of 107, 147, 964, 365, 214 is 5534405940.

2. How to calculate the LCM of 107, 147, 964, 365, 214?

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, 147, 964, 365, 214.

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}.