Given numbers are 977,961,489,321,738

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

The LCM of 977,961,489,321,738 is 12084973301826.

Find LCM of 977,961,489,321,738 with Prime Factorization

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

3 x 977 x 961 x 163 x 107 x 246 = 12084973301826

Therefore, the lowest common multiple of 977,961,489,321,738 is 12084973301826.

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.

977 x 961 x 489 x 321 x 738 = 108764759716434

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.

977 : 1, 977

961 : 1, 31, 961

489 : 1, 3, 163, 489

321 : 1, 3, 107, 321

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,961,489,321,738, is 1.

Now, the common factors can be found like this.

977:977

961:31x 31

489:3x 163

321:3x 107

738:2x 3x 3x 41

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 108764759716434/(1x9)

LCM = 108764759716434/9

LCM = 12084973301826

Thus, we can understand that the LCM of 977,961,489,321,738 is 12084973301826.

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

• LCM of 490, 875, 386, 482, 195
• LCM of 182, 957, 773, 647, 548
• LCM of 410, 239, 500, 276, 881
• LCM of 188, 759, 843, 802, 137
• LCM of 265, 981, 105, 460, 663

1. What is the LCM of 977, 961, 489, 321, 738?

Answer: LCM of 977, 961, 489, 321, 738 is 12084973301826.

2. How to calculate the LCM of 977, 961, 489, 321, 738?

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 977, 961, 489, 321, 738.

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}.