Given numbers are 782,493,194,612,131

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

The LCM of 782,493,194,612,131 is 5187048228.

Find LCM of 782,493,194,612,131 with Prime Factorization

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

2 x 17 x 23 x 29 x 97 x 18 x 131 = 5187048228

Therefore, the lowest common multiple of 782,493,194,612,131 is 5187048228.

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.

782 x 493 x 194 x 612 x 131 = 5996227751568

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

493 : 1, 17, 29, 493

194 : 1, 2, 97, 194

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,493,194,612,131, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

493:17x 29

194:2x 97

612:2x 2x 3x 3x 17

131:131

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 5996227751568/(1x1156)

LCM = 5996227751568/1156

LCM = 5187048228

Thus, we can understand that the LCM of 782,493,194,612,131 is 5187048228.

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

• LCM of 808, 889, 436, 518, 643
• LCM of 314, 503, 173, 685, 835
• LCM of 609, 262, 669, 162, 203
• LCM of 694, 359, 175, 866, 481
• LCM of 742, 902, 205, 550, 864

1. What is the LCM of 782, 493, 194, 612, 131?

Answer: LCM of 782, 493, 194, 612, 131 is 5187048228.

2. How to calculate the LCM of 782, 493, 194, 612, 131?

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 782, 493, 194, 612, 131.

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}.