Given numbers are 493,130,389,541,454

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

The LCM of 493,130,389,541,454 is 3061702545070.

Find LCM of 493,130,389,541,454 with Prime Factorization

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

2 x 493 x 65 x 389 x 541 x 227 = 3061702545070

Therefore, the lowest common multiple of 493,130,389,541,454 is 3061702545070.

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.

493 x 130 x 389 x 541 x 454 = 6123405090140

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.

493 : 1, 17, 29, 493

130 : 1, 2, 5, 10, 13, 26, 65, 130

389 : 1, 389

541 : 1, 541

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,130,389,541,454, is 1.

Now, the common factors can be found like this.

493:17x 29

130:2x 5x 13

389:389

541:541

454:2x 227

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 = 6123405090140/(1x2)

LCM = 6123405090140/2

LCM = 3061702545070

Thus, we can understand that the LCM of 493,130,389,541,454 is 3061702545070.

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

• LCM of 607, 429, 690, 847, 620
• LCM of 235, 474, 735, 839, 161
• LCM of 399, 191, 292, 432, 470
• LCM of 942, 768, 429, 980, 320
• LCM of 301, 922, 406, 410, 884

1. What is the LCM of 493, 130, 389, 541, 454?

Answer: LCM of 493, 130, 389, 541, 454 is 3061702545070.

2. How to calculate the LCM of 493, 130, 389, 541, 454?

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 493, 130, 389, 541, 454.

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}.