Given numbers are 750,147,913,214

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

The LCM of 750,147,913,214 is 3590144250.

Find LCM of 750,147,913,214 with Prime Factorization

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

2 x 3 x 125 x 49 x 913 x 107 = 3590144250

Therefore, the lowest common multiple of 750,147,913,214 is 3590144250.

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.

750 x 147 x 913 x 214 = 21540865500

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

913 : 1, 11, 83, 913

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,147,913,214, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

147:3x 7x 7

913:11x 83

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 3 = 6

Therefore, the value for common factors is 6.

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 = 21540865500/(1x6)

LCM = 21540865500/6

LCM = 3590144250

Thus, we can understand that the LCM of 750,147,913,214 is 3590144250.

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

• LCM of 281, 699, 950, 281
• LCM of 147, 487, 152, 487
• LCM of 171, 546, 646, 988
• LCM of 439, 499, 800, 154
• LCM of 131, 861, 808, 506

1. What is the LCM of 750, 147, 913, 214?

Answer: LCM of 750, 147, 913, 214 is 3590144250.

2. How to calculate the LCM of 750, 147, 913, 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 750, 147, 913, 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}.