Given numbers are 350,398,207,208,826

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

The LCM of 350,398,207,208,826 is 88466086800.

Find LCM of 350,398,207,208,826 with Prime Factorization

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

2 x 7 x 25 x 199 x 207 x 104 x 59 = 88466086800

Therefore, the lowest common multiple of 350,398,207,208,826 is 88466086800.

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.

350 x 398 x 207 x 208 x 826 = 4954100860800

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.

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

398 : 1, 2, 199, 398

207 : 1, 3, 9, 23, 69, 207

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,398,207,208,826, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

398:2x 199

207:3x 3x 23

208:2x 2x 2x 2x 13

826:2x 7x 59

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 7 = 56

Therefore, the value for common factors is 56.

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 = 4954100860800/(1x56)

LCM = 4954100860800/56

LCM = 88466086800

Thus, we can understand that the LCM of 350,398,207,208,826 is 88466086800.

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

• LCM of 235, 384, 928, 747, 307
• LCM of 225, 899, 215, 916, 801
• LCM of 661, 507, 925, 930, 506
• LCM of 560, 842, 655, 255, 142
• LCM of 372, 478, 440, 147, 282

1. What is the LCM of 350, 398, 207, 208, 826?

Answer: LCM of 350, 398, 207, 208, 826 is 88466086800.

2. How to calculate the LCM of 350, 398, 207, 208, 826?

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 350, 398, 207, 208, 826.

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}.