Given numbers are 684,497,283,167,338

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

The LCM of 684,497,283,167,338 is 2715201730332.

Find LCM of 684,497,283,167,338 with Prime Factorization

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

2 x 342 x 497 x 283 x 167 x 169 = 2715201730332

Therefore, the lowest common multiple of 684,497,283,167,338 is 2715201730332.

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.

684 x 497 x 283 x 167 x 338 = 5430403460664

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

497 : 1, 7, 71, 497

283 : 1, 283

167 : 1, 167

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,497,283,167,338, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

497:7x 71

283:283

167:167

338:2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5430403460664/(1x2)

LCM = 5430403460664/2

LCM = 2715201730332

Thus, we can understand that the LCM of 684,497,283,167,338 is 2715201730332.

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

• LCM of 218, 532, 674, 174, 998
• LCM of 274, 734, 804, 929, 841
• LCM of 140, 251, 591, 364, 420
• LCM of 743, 818, 816, 544, 592
• LCM of 907, 391, 657, 383, 106

1. What is the LCM of 684, 497, 283, 167, 338?

Answer: LCM of 684, 497, 283, 167, 338 is 2715201730332.

2. How to calculate the LCM of 684, 497, 283, 167, 338?

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 684, 497, 283, 167, 338.

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}.