Given numbers are 986,292,466,101,730

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

The LCM of 986,292,466,101,730 is 16938582740.

Find LCM of 986,292,466,101,730 with Prime Factorization

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

2 x 73 x 493 x 2 x 233 x 101 x 5 = 16938582740

Therefore, the lowest common multiple of 986,292,466,101,730 is 16938582740.

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.

986 x 292 x 466 x 101 x 730 = 9892132320160

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

292 : 1, 2, 4, 73, 146, 292

466 : 1, 2, 233, 466

101 : 1, 101

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,292,466,101,730, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

292:2x 2x 73

466:2x 233

101:101

730:2x 5x 73

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 73 = 584

Therefore, the value for common factors is 584.

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 = 9892132320160/(1x584)

LCM = 9892132320160/584

LCM = 16938582740

Thus, we can understand that the LCM of 986,292,466,101,730 is 16938582740.

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

• LCM of 429, 144, 729, 370, 169
• LCM of 658, 309, 545, 395, 964
• LCM of 372, 419, 197, 674, 206
• LCM of 226, 152, 966, 103, 230
• LCM of 442, 910, 652, 912, 884

1. What is the LCM of 986, 292, 466, 101, 730?

Answer: LCM of 986, 292, 466, 101, 730 is 16938582740.

2. How to calculate the LCM of 986, 292, 466, 101, 730?

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 986, 292, 466, 101, 730.

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}.