Given numbers are 144,884,506,912

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

The LCM of 144,884,506,912 is 152977968.

Find LCM of 144,884,506,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 221 x 253 x 19 = 152977968

Therefore, the lowest common multiple of 144,884,506,912 is 152977968.

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.

144 x 884 x 506 x 912 = 58743539712

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

506 : 1, 2, 11, 22, 23, 46, 253, 506

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,884,506,912, is 2.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

884:2x 2x 13x 17

506:2x 11x 23

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 58743539712/(2x192)

LCM = 58743539712/384

LCM = 152977968

Thus, we can understand that the LCM of 144,884,506,912 is 152977968.

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

• LCM of 819, 709, 595, 129
• LCM of 458, 777, 222, 255
• LCM of 748, 500, 335, 497
• LCM of 886, 980, 899, 382
• LCM of 227, 327, 621, 804

1. What is the LCM of 144, 884, 506, 912?

Answer: LCM of 144, 884, 506, 912 is 152977968.

2. How to calculate the LCM of 144, 884, 506, 912?

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 144, 884, 506, 912.

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}.