Given numbers are 617,942,112,974,329

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

The LCM of 617,942,112,974,329 is 744990805776.

Find LCM of 617,942,112,974,329 with Prime Factorization

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

2 x 7 x 617 x 471 x 8 x 487 x 47 = 744990805776

Therefore, the lowest common multiple of 617,942,112,974,329 is 744990805776.

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.

617 x 942 x 112 x 974 x 329 = 20859742561728

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.

617 : 1, 617

942 : 1, 2, 3, 6, 157, 314, 471, 942

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

974 : 1, 2, 487, 974

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,942,112,974,329, is 1.

Now, the common factors can be found like this.

617:617

942:2x 3x 157

112:2x 2x 2x 2x 7

974:2x 487

329:7x 47

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 7 = 28

Therefore, the value for common factors is 28.

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 = 20859742561728/(1x28)

LCM = 20859742561728/28

LCM = 744990805776

Thus, we can understand that the LCM of 617,942,112,974,329 is 744990805776.

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

• LCM of 217, 355, 810, 573, 447
• LCM of 981, 361, 337, 902, 467
• LCM of 820, 729, 355, 873, 801
• LCM of 509, 756, 132, 673, 566
• LCM of 874, 161, 460, 309, 863

1. What is the LCM of 617, 942, 112, 974, 329?

Answer: LCM of 617, 942, 112, 974, 329 is 744990805776.

2. How to calculate the LCM of 617, 942, 112, 974, 329?

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 617, 942, 112, 974, 329.

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}.