Given numbers are 343,480,353,655,695

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

The LCM of 343,480,353,655,695 is 1058269205280.

Find LCM of 343,480,353,655,695 with Prime Factorization

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

5 x 343 x 96 x 353 x 131 x 139 = 1058269205280

Therefore, the lowest common multiple of 343,480,353,655,695 is 1058269205280.

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 480 x 353 x 655 x 695 = 26456730132000

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

353 : 1, 353

655 : 1, 5, 131, 655

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,480,353,655,695, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

480:2x 2x 2x 2x 2x 3x 5

353:353

655:5x 131

695:5x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 26456730132000/(1x25)

LCM = 26456730132000/25

LCM = 1058269205280

Thus, we can understand that the LCM of 343,480,353,655,695 is 1058269205280.

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

• LCM of 565, 872, 140, 533, 708
• LCM of 609, 677, 586, 822, 282
• LCM of 782, 454, 745, 648, 325
• LCM of 652, 869, 687, 860, 719
• LCM of 748, 966, 159, 850, 244

1. What is the LCM of 343, 480, 353, 655, 695?

Answer: LCM of 343, 480, 353, 655, 695 is 1058269205280.

2. How to calculate the LCM of 343, 480, 353, 655, 695?

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, 480, 353, 655, 695.

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}.