Given numbers are 408,596,473,693,345

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

The LCM of 408,596,473,693,345 is 69442397640.

Find LCM of 408,596,473,693,345 with Prime Factorization

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

2 x 2 x 3 x 11 x 34 x 149 x 43 x 21 x 115 = 69442397640

Therefore, the lowest common multiple of 408,596,473,693,345 is 69442397640.

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.

408 x 596 x 473 x 693 x 345 = 27499189465440

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

596 : 1, 2, 4, 149, 298, 596

473 : 1, 11, 43, 473

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,596,473,693,345, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

596:2x 2x 149

473:11x 43

693:3x 3x 7x 11

345:3x 5x 23

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 27499189465440/(1x396)

LCM = 27499189465440/396

LCM = 69442397640

Thus, we can understand that the LCM of 408,596,473,693,345 is 69442397640.

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

• LCM of 676, 281, 558, 140, 288
• LCM of 725, 676, 832, 103, 151
• LCM of 102, 608, 568, 802, 912
• LCM of 476, 165, 268, 928, 810
• LCM of 666, 619, 309, 783, 522

1. What is the LCM of 408, 596, 473, 693, 345?

Answer: LCM of 408, 596, 473, 693, 345 is 69442397640.

2. How to calculate the LCM of 408, 596, 473, 693, 345?

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 408, 596, 473, 693, 345.

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}.