Given numbers are 960,490,811,199,938

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

The LCM of 960,490,811,199,938 is 508646483520.

Find LCM of 960,490,811,199,938 with Prime Factorization

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

2 x 5 x 7 x 96 x 7 x 811 x 199 x 67 = 508646483520

Therefore, the lowest common multiple of 960,490,811,199,938 is 508646483520.

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.

960 x 490 x 811 x 199 x 938 = 71210507692800

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

811 : 1, 811

199 : 1, 199

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,490,811,199,938, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

490:2x 5x 7x 7

811:811

199:199

938:2x 7x 67

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 71210507692800/(1x140)

LCM = 71210507692800/140

LCM = 508646483520

Thus, we can understand that the LCM of 960,490,811,199,938 is 508646483520.

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

• LCM of 388, 258, 257, 964, 308
• LCM of 370, 588, 916, 380, 338
• LCM of 535, 309, 976, 816, 910
• LCM of 187, 258, 797, 405, 553
• LCM of 830, 315, 135, 311, 111

1. What is the LCM of 960, 490, 811, 199, 938?

Answer: LCM of 960, 490, 811, 199, 938 is 508646483520.

2. How to calculate the LCM of 960, 490, 811, 199, 938?

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 960, 490, 811, 199, 938.

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}.