Given numbers are 715,410,572,353,364

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

The LCM of 715,410,572,353,364 is 289749460.

Find LCM of 715,410,572,353,364 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 1 x 41 x 1 x 353 x 7 = 289749460

Therefore, the lowest common multiple of 715,410,572,353,364 is 289749460.

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.

715 x 410 x 572 x 353 x 364 = 21545769845600

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

410 : 1, 2, 5, 10, 41, 82, 205, 410

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

353 : 1, 353

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,410,572,353,364, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

410:2x 5x 41

572:2x 2x 11x 13

353:353

364:2x 2x 7x 13

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 5x 11x 13x 13 = 74360

Therefore, the value for common factors is 74360.

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 = 21545769845600/(1x74360)

LCM = 21545769845600/74360

LCM = 289749460

Thus, we can understand that the LCM of 715,410,572,353,364 is 289749460.

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

• LCM of 131, 306, 911, 738, 431
• LCM of 412, 357, 923, 367, 362
• LCM of 289, 803, 138, 396, 844
• LCM of 871, 108, 854, 708, 233
• LCM of 359, 921, 200, 165, 123

1. What is the LCM of 715, 410, 572, 353, 364?

Answer: LCM of 715, 410, 572, 353, 364 is 289749460.

2. How to calculate the LCM of 715, 410, 572, 353, 364?

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 715, 410, 572, 353, 364.

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}.