Given numbers are 495,366,708,186,698

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

The LCM of 495,366,708,186,698 is 77096410380.

Find LCM of 495,366,708,186,698 with Prime Factorization

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

2 x 3 x 165 x 61 x 118 x 31 x 349 = 77096410380

Therefore, the lowest common multiple of 495,366,708,186,698 is 77096410380.

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.

495 x 366 x 708 x 186 x 698 = 16652824642080

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

366 : 1, 2, 3, 6, 61, 122, 183, 366

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

186 : 1, 2, 3, 6, 31, 62, 93, 186

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,366,708,186,698, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

366:2x 3x 61

708:2x 2x 3x 59

186:2x 3x 31

698:2x 349

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 16652824642080/(1x216)

LCM = 16652824642080/216

LCM = 77096410380

Thus, we can understand that the LCM of 495,366,708,186,698 is 77096410380.

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

• LCM of 155, 144, 420, 914, 951
• LCM of 164, 639, 813, 143, 226
• LCM of 354, 991, 563, 762, 208
• LCM of 863, 441, 934, 966, 255
• LCM of 502, 138, 369, 756, 400

1. What is the LCM of 495, 366, 708, 186, 698?

Answer: LCM of 495, 366, 708, 186, 698 is 77096410380.

2. How to calculate the LCM of 495, 366, 708, 186, 698?

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 495, 366, 708, 186, 698.

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}.