Given numbers are 314,497,698,364,429

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

The LCM of 314,497,698,364,429 is 46730319636.

Find LCM of 314,497,698,364,429 with Prime Factorization

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

2 x 7 x 13 x 157 x 71 x 349 x 2 x 33 = 46730319636

Therefore, the lowest common multiple of 314,497,698,364,429 is 46730319636.

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.

314 x 497 x 698 x 364 x 429 = 17009836347504

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.

314 : 1, 2, 157, 314

497 : 1, 7, 71, 497

698 : 1, 2, 349, 698

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,497,698,364,429, is 1.

Now, the common factors can be found like this.

314:2x 157

497:7x 71

698:2x 349

364:2x 2x 7x 13

429:3x 11x 13

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 17009836347504/(1x364)

LCM = 17009836347504/364

LCM = 46730319636

Thus, we can understand that the LCM of 314,497,698,364,429 is 46730319636.

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

• LCM of 568, 768, 500, 327, 552
• LCM of 156, 659, 598, 298, 692
• LCM of 856, 726, 563, 661, 538
• LCM of 813, 876, 174, 605, 476
• LCM of 205, 656, 640, 832, 138

1. What is the LCM of 314, 497, 698, 364, 429?

Answer: LCM of 314, 497, 698, 364, 429 is 46730319636.

2. How to calculate the LCM of 314, 497, 698, 364, 429?

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 314, 497, 698, 364, 429.

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}.