Given numbers are 353,314,698,342,428

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

The LCM of 353,314,698,342,428 is 1415597099652.

Find LCM of 353,314,698,342,428 with Prime Factorization

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

2 x 353 x 157 x 349 x 171 x 214 = 1415597099652

Therefore, the lowest common multiple of 353,314,698,342,428 is 1415597099652.

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.

353 x 314 x 698 x 342 x 428 = 11324776797216

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.

353 : 1, 353

314 : 1, 2, 157, 314

698 : 1, 2, 349, 698

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,314,698,342,428, is 1.

Now, the common factors can be found like this.

353:353

314:2x 157

698:2x 349

342:2x 3x 3x 19

428:2x 2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11324776797216/(1x8)

LCM = 11324776797216/8

LCM = 1415597099652

Thus, we can understand that the LCM of 353,314,698,342,428 is 1415597099652.

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

• LCM of 317, 883, 194, 763, 754
• LCM of 668, 262, 833, 235, 984
• LCM of 300, 978, 345, 989, 846
• LCM of 682, 877, 633, 895, 705
• LCM of 688, 879, 551, 195, 648

1. What is the LCM of 353, 314, 698, 342, 428?

Answer: LCM of 353, 314, 698, 342, 428 is 1415597099652.

2. How to calculate the LCM of 353, 314, 698, 342, 428?

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 353, 314, 698, 342, 428.

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}.