Given numbers are 986,273,831,414,942

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

The LCM of 986,273,831,414,942 is 807733460898.

Find LCM of 986,273,831,414,942 with Prime Factorization

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

2 x 3 x 493 x 91 x 277 x 69 x 157 = 807733460898

Therefore, the lowest common multiple of 986,273,831,414,942 is 807733460898.

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 273 x 831 x 414 x 942 = 87235213776984

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

831 : 1, 3, 277, 831

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,273,831,414,942, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

273:3x 7x 13

831:3x 277

414:2x 3x 3x 23

942:2x 3x 157

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 87235213776984/(1x108)

LCM = 87235213776984/108

LCM = 807733460898

Thus, we can understand that the LCM of 986,273,831,414,942 is 807733460898.

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

• LCM of 942, 732, 876, 140, 710
• LCM of 468, 246, 962, 786, 777
• LCM of 862, 895, 722, 773, 988
• LCM of 436, 933, 392, 463, 571
• LCM of 349, 988, 126, 165, 714

1. What is the LCM of 986, 273, 831, 414, 942?

Answer: LCM of 986, 273, 831, 414, 942 is 807733460898.

2. How to calculate the LCM of 986, 273, 831, 414, 942?

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, 273, 831, 414, 942.

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}.