Given numbers are 470,149,596,993

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

The LCM of 470,149,596,993 is 139079580.

Find LCM of 470,149,596,993 with Prime Factorization

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

2 x 149 x 235 x 1 x 2 x 993 = 139079580

Therefore, the lowest common multiple of 470,149,596,993 is 139079580.

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.

470 x 149 x 596 x 993 = 41445714840

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

149 : 1, 149

596 : 1, 2, 4, 149, 298, 596

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,149,596,993, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

149:149

596:2x 2x 149

993:3x 331

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 41445714840/(1x298)

LCM = 41445714840/298

LCM = 139079580

Thus, we can understand that the LCM of 470,149,596,993 is 139079580.

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

• LCM of 757, 320, 441, 431
• LCM of 371, 886, 783, 260
• LCM of 154, 542, 278, 777
• LCM of 752, 543, 227, 365
• LCM of 823, 567, 703, 415

1. What is the LCM of 470, 149, 596, 993?

Answer: LCM of 470, 149, 596, 993 is 139079580.

2. How to calculate the LCM of 470, 149, 596, 993?

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 470, 149, 596, 993.

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}.