Given numbers are 977,905,361,614,924

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

The LCM of 977,905,361,614,924 is 90544211599380.

Find LCM of 977,905,361,614,924 with Prime Factorization

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

2 x 977 x 905 x 361 x 307 x 462 = 90544211599380

Therefore, the lowest common multiple of 977,905,361,614,924 is 90544211599380.

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 905 x 361 x 614 x 924 = 181088423198760

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

905 : 1, 5, 181, 905

361 : 1, 19, 361

614 : 1, 2, 307, 614

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,905,361,614,924, is 1.

Now, the common factors can be found like this.

977:977

905:5x 181

361:19x 19

614:2x 307

924:2x 2x 3x 7x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 181088423198760/(1x2)

LCM = 181088423198760/2

LCM = 90544211599380

Thus, we can understand that the LCM of 977,905,361,614,924 is 90544211599380.

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

• LCM of 143, 693, 352, 284, 770
• LCM of 511, 544, 454, 753, 899
• LCM of 664, 218, 398, 203, 708
• LCM of 632, 420, 425, 761, 414
• LCM of 341, 480, 182, 709, 799

1. What is the LCM of 977, 905, 361, 614, 924?

Answer: LCM of 977, 905, 361, 614, 924 is 90544211599380.

2. How to calculate the LCM of 977, 905, 361, 614, 924?

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, 905, 361, 614, 924.

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}.