Given numbers are 574,943,208,930,491

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

The LCM of 574,943,208,930,491 is 313478321520.

Find LCM of 574,943,208,930,491 with Prime Factorization

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

2 x 41 x 7 x 23 x 104 x 465 x 491 = 313478321520

Therefore, the lowest common multiple of 574,943,208,930,491 is 313478321520.

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.

574 x 943 x 208 x 930 x 491 = 51410444729280

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

943 : 1, 23, 41, 943

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,943,208,930,491, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

943:23x 41

208:2x 2x 2x 2x 13

930:2x 3x 5x 31

491:491

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 41 = 164

Therefore, the value for common factors is 164.

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 = 51410444729280/(1x164)

LCM = 51410444729280/164

LCM = 313478321520

Thus, we can understand that the LCM of 574,943,208,930,491 is 313478321520.

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

• LCM of 947, 984, 465, 515, 650
• LCM of 950, 371, 146, 746, 564
• LCM of 508, 109, 568, 139, 879
• LCM of 777, 943, 833, 226, 794
• LCM of 533, 504, 943, 667, 201

1. What is the LCM of 574, 943, 208, 930, 491?

Answer: LCM of 574, 943, 208, 930, 491 is 313478321520.

2. How to calculate the LCM of 574, 943, 208, 930, 491?

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 574, 943, 208, 930, 491.

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}.