Given numbers are 444,461,316,120,990

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

The LCM of 444,461,316,120,990 is 5336111880.

Find LCM of 444,461,316,120,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 37 x 461 x 79 x 2 x 33 = 5336111880

Therefore, the lowest common multiple of 444,461,316,120,990 is 5336111880.

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.

444 x 461 x 316 x 120 x 990 = 7684001107200

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

461 : 1, 461

316 : 1, 2, 4, 79, 158, 316

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,461,316,120,990, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

461:461

316:2x 2x 79

120:2x 2x 2x 3x 5

990:2x 3x 3x 5x 11

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 7684001107200/(1x1440)

LCM = 7684001107200/1440

LCM = 5336111880

Thus, we can understand that the LCM of 444,461,316,120,990 is 5336111880.

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

• LCM of 526, 256, 783, 142, 895
• LCM of 577, 408, 386, 729, 330
• LCM of 248, 198, 591, 118, 188
• LCM of 995, 379, 801, 823, 516
• LCM of 638, 977, 525, 551, 716

1. What is the LCM of 444, 461, 316, 120, 990?

Answer: LCM of 444, 461, 316, 120, 990 is 5336111880.

2. How to calculate the LCM of 444, 461, 316, 120, 990?

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 444, 461, 316, 120, 990.

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}.