Given numbers are 428,350,364,696,508

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

The LCM of 428,350,364,696,508 is 21516822600.

Find LCM of 428,350,364,696,508 with Prime Factorization

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

2 x 2 x 7 x 107 x 25 x 13 x 174 x 127 = 21516822600

Therefore, the lowest common multiple of 428,350,364,696,508 is 21516822600.

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.

428 x 350 x 364 x 696 x 508 = 19279073049600

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.

428 : 1, 2, 4, 107, 214, 428

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,350,364,696,508, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

350:2x 5x 5x 7

364:2x 2x 7x 13

696:2x 2x 2x 3x 29

508:2x 2x 127

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 2x 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 19279073049600/(2x448)

LCM = 19279073049600/896

LCM = 21516822600

Thus, we can understand that the LCM of 428,350,364,696,508 is 21516822600.

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

• LCM of 308, 199, 319, 751, 205
• LCM of 244, 896, 952, 632, 395
• LCM of 222, 341, 757, 718, 392
• LCM of 894, 935, 934, 643, 228
• LCM of 329, 905, 821, 707, 501

1. What is the LCM of 428, 350, 364, 696, 508?

Answer: LCM of 428, 350, 364, 696, 508 is 21516822600.

2. How to calculate the LCM of 428, 350, 364, 696, 508?

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 428, 350, 364, 696, 508.

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}.