Given numbers are 150,651,907,991,414

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

The LCM of 150,651,907,991,414 is 2018742960150.

Find LCM of 150,651,907,991,414 with Prime Factorization

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

2 x 3 x 25 x 217 x 907 x 991 x 69 = 2018742960150

Therefore, the lowest common multiple of 150,651,907,991,414 is 2018742960150.

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.

150 x 651 x 907 x 991 x 414 = 36337373282700

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

651 : 1, 3, 7, 21, 31, 93, 217, 651

907 : 1, 907

991 : 1, 991

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,651,907,991,414, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

651:3x 7x 31

907:907

991:991

414:2x 3x 3x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 36337373282700/(1x18)

LCM = 36337373282700/18

LCM = 2018742960150

Thus, we can understand that the LCM of 150,651,907,991,414 is 2018742960150.

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

• LCM of 998, 443, 847, 321, 900
• LCM of 618, 914, 890, 365, 978
• LCM of 541, 868, 912, 774, 901
• LCM of 442, 463, 458, 781, 537
• LCM of 550, 152, 321, 918, 338

1. What is the LCM of 150, 651, 907, 991, 414?

Answer: LCM of 150, 651, 907, 991, 414 is 2018742960150.

2. How to calculate the LCM of 150, 651, 907, 991, 414?

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 150, 651, 907, 991, 414.

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}.