Given numbers are 343,470,326,348,696

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

The LCM of 343,470,326,348,696 is 9144476040.

Find LCM of 343,470,326,348,696 with Prime Factorization

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

2 x 2 x 3 x 29 x 343 x 235 x 163 x 1 x 2 = 9144476040

Therefore, the lowest common multiple of 343,470,326,348,696 is 9144476040.

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 470 x 326 x 348 x 696 = 12729110647680

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

326 : 1, 2, 163, 326

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,470,326,348,696, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

470:2x 5x 47

326:2x 163

348:2x 2x 3x 29

696:2x 2x 2x 3x 29

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 3x 29 = 1392

Therefore, the value for common factors is 1392.

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 = 12729110647680/(1x1392)

LCM = 12729110647680/1392

LCM = 9144476040

Thus, we can understand that the LCM of 343,470,326,348,696 is 9144476040.

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

• LCM of 981, 981, 679, 350, 862
• LCM of 560, 407, 943, 850, 752
• LCM of 213, 307, 973, 952, 254
• LCM of 867, 902, 128, 152, 249
• LCM of 372, 550, 527, 874, 432

1. What is the LCM of 343, 470, 326, 348, 696?

Answer: LCM of 343, 470, 326, 348, 696 is 9144476040.

2. How to calculate the LCM of 343, 470, 326, 348, 696?

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, 470, 326, 348, 696.

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}.