Given numbers are 906,986,750,224

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

The LCM of 906,986,750,224 is 6253212000.

Find LCM of 906,986,750,224 with Prime Factorization

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

2 x 3 x 151 x 493 x 125 x 112 = 6253212000

Therefore, the lowest common multiple of 906,986,750,224 is 6253212000.

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.

906 x 986 x 750 x 224 = 150077088000

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,986,750,224, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

986:2x 17x 29

750:2x 3x 5x 5x 5

224:2x 2x 2x 2x 2x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 150077088000/(2x12)

LCM = 150077088000/24

LCM = 6253212000

Thus, we can understand that the LCM of 906,986,750,224 is 6253212000.

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

• LCM of 789, 397, 675, 503
• LCM of 912, 473, 790, 392
• LCM of 980, 111, 914, 662
• LCM of 993, 944, 333, 959
• LCM of 244, 192, 281, 336

1. What is the LCM of 906, 986, 750, 224?

Answer: LCM of 906, 986, 750, 224 is 6253212000.

2. How to calculate the LCM of 906, 986, 750, 224?

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 906, 986, 750, 224.

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}.