Given numbers are 576,149,830,119,974

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

The LCM of 576,149,830,119,974 is 2064109682880.

Find LCM of 576,149,830,119,974 with Prime Factorization

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

2 x 288 x 149 x 415 x 119 x 487 = 2064109682880

Therefore, the lowest common multiple of 576,149,830,119,974 is 2064109682880.

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.

576 x 149 x 830 x 119 x 974 = 8256438731520

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

149 : 1, 149

830 : 1, 2, 5, 10, 83, 166, 415, 830

119 : 1, 7, 17, 119

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,149,830,119,974, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

149:149

830:2x 5x 83

119:7x 17

974:2x 487

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8256438731520/(1x4)

LCM = 8256438731520/4

LCM = 2064109682880

Thus, we can understand that the LCM of 576,149,830,119,974 is 2064109682880.

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

• LCM of 636, 261, 762, 614, 819
• LCM of 716, 224, 422, 773, 327
• LCM of 820, 708, 765, 642, 252
• LCM of 594, 114, 833, 546, 966
• LCM of 323, 923, 877, 479, 910

1. What is the LCM of 576, 149, 830, 119, 974?

Answer: LCM of 576, 149, 830, 119, 974 is 2064109682880.

2. How to calculate the LCM of 576, 149, 830, 119, 974?

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 576, 149, 830, 119, 974.

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}.