Given numbers are 343,212,360,354,517

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

The LCM of 343,212,360,354,517 is 199625053320.

Find LCM of 343,212,360,354,517 with Prime Factorization

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

2 x 2 x 3 x 343 x 53 x 30 x 59 x 517 = 199625053320

Therefore, the lowest common multiple of 343,212,360,354,517 is 199625053320.

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.

343 x 212 x 360 x 354 x 517 = 4791001279680

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.

343 : 1, 7, 49, 343

212 : 1, 2, 4, 53, 106, 212

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

354 : 1, 2, 3, 6, 59, 118, 177, 354

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,212,360,354,517, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

212:2x 2x 53

360:2x 2x 2x 3x 3x 5

354:2x 3x 59

517:11x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4791001279680/(1x24)

LCM = 4791001279680/24

LCM = 199625053320

Thus, we can understand that the LCM of 343,212,360,354,517 is 199625053320.

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

• LCM of 291, 372, 772, 534, 662
• LCM of 371, 508, 463, 310, 638
• LCM of 453, 171, 713, 665, 973
• LCM of 258, 955, 861, 781, 425
• LCM of 594, 616, 767, 965, 514

1. What is the LCM of 343, 212, 360, 354, 517?

Answer: LCM of 343, 212, 360, 354, 517 is 199625053320.

2. How to calculate the LCM of 343, 212, 360, 354, 517?

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 343, 212, 360, 354, 517.

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}.