Given numbers are 942,462,816,986

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

The LCM of 942,462,816,986 is 286074096.

Find LCM of 942,462,816,986 with Prime Factorization

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

2 x 3 x 17 x 157 x 77 x 8 x 29 = 286074096

Therefore, the lowest common multiple of 942,462,816,986 is 286074096.

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.

942 x 462 x 816 x 986 = 350154693504

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.

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,462,816,986, is 2.

Now, the common factors can be found like this.

942:2x 3x 157

462:2x 3x 7x 11

816:2x 2x 2x 2x 3x 17

986:2x 17x 29

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 17 = 612

Therefore, the value for common factors is 612.

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 = 350154693504/(2x612)

LCM = 350154693504/1224

LCM = 286074096

Thus, we can understand that the LCM of 942,462,816,986 is 286074096.

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

• LCM of 132, 884, 260, 819
• LCM of 398, 347, 859, 221
• LCM of 718, 423, 973, 853
• LCM of 259, 793, 587, 689
• LCM of 686, 217, 332, 987

1. What is the LCM of 942, 462, 816, 986?

Answer: LCM of 942, 462, 816, 986 is 286074096.

2. How to calculate the LCM of 942, 462, 816, 986?

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 942, 462, 816, 986.

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}.