Given numbers are 293,356,439,574,490

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

The LCM of 293,356,439,574,490 is 459972724540.

Find LCM of 293,356,439,574,490 with Prime Factorization

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

2 x 7 x 293 x 178 x 439 x 41 x 35 = 459972724540

Therefore, the lowest common multiple of 293,356,439,574,490 is 459972724540.

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.

293 x 356 x 439 x 574 x 490 = 12879236287120

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.

293 : 1, 293

356 : 1, 2, 4, 89, 178, 356

439 : 1, 439

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,356,439,574,490, is 1.

Now, the common factors can be found like this.

293:293

356:2x 2x 89

439:439

574:2x 7x 41

490:2x 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 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 = 12879236287120/(1x28)

LCM = 12879236287120/28

LCM = 459972724540

Thus, we can understand that the LCM of 293,356,439,574,490 is 459972724540.

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

• LCM of 728, 500, 799, 492, 217
• LCM of 799, 538, 867, 435, 878
• LCM of 627, 569, 517, 107, 302
• LCM of 615, 364, 655, 699, 633
• LCM of 771, 978, 308, 713, 527

1. What is the LCM of 293, 356, 439, 574, 490?

Answer: LCM of 293, 356, 439, 574, 490 is 459972724540.

2. How to calculate the LCM of 293, 356, 439, 574, 490?

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 293, 356, 439, 574, 490.

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}.