Given numbers are 617,408,970,433,980

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

The LCM of 617,408,970,433,980 is 2590425115320.

Find LCM of 617,408,970,433,980 with Prime Factorization

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

2 x 2 x 5 x 617 x 102 x 97 x 433 x 49 = 2590425115320

Therefore, the lowest common multiple of 617,408,970,433,980 is 2590425115320.

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 408 x 970 x 433 x 980 = 103617004612800

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

970 : 1, 2, 5, 10, 97, 194, 485, 970

433 : 1, 433

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,408,970,433,980, is 1.

Now, the common factors can be found like this.

617:617

408:2x 2x 2x 3x 17

970:2x 5x 97

433:433

980:2x 2x 5x 7x 7

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 5 = 40

Therefore, the value for common factors is 40.

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 = 103617004612800/(1x40)

LCM = 103617004612800/40

LCM = 2590425115320

Thus, we can understand that the LCM of 617,408,970,433,980 is 2590425115320.

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

• LCM of 751, 443, 715, 383, 695
• LCM of 691, 488, 597, 265, 221
• LCM of 191, 969, 251, 692, 312
• LCM of 384, 419, 323, 605, 194
• LCM of 652, 322, 978, 614, 333

1. What is the LCM of 617, 408, 970, 433, 980?

Answer: LCM of 617, 408, 970, 433, 980 is 2590425115320.

2. How to calculate the LCM of 617, 408, 970, 433, 980?

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, 408, 970, 433, 980.

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}.