Given numbers are 942,368,311,690,558

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

The LCM of 942,368,311,690,558 is 25065828720.

Find LCM of 942,368,311,690,558 with Prime Factorization

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

2 x 3 x 23 x 157 x 8 x 311 x 5 x 93 = 25065828720

Therefore, the lowest common multiple of 942,368,311,690,558 is 25065828720.

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 368 x 311 x 690 x 558 = 41509012360320

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

311 : 1, 311

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,368,311,690,558, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

368:2x 2x 2x 2x 23

311:311

690:2x 3x 5x 23

558:2x 3x 3x 31

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 23 = 1656

Therefore, the value for common factors is 1656.

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 = 41509012360320/(1x1656)

LCM = 41509012360320/1656

LCM = 25065828720

Thus, we can understand that the LCM of 942,368,311,690,558 is 25065828720.

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

• LCM of 646, 299, 580, 823, 355
• LCM of 484, 272, 456, 973, 634
• LCM of 919, 731, 943, 932, 185
• LCM of 340, 294, 873, 860, 517
• LCM of 549, 373, 616, 624, 145

1. What is the LCM of 942, 368, 311, 690, 558?

Answer: LCM of 942, 368, 311, 690, 558 is 25065828720.

2. How to calculate the LCM of 942, 368, 311, 690, 558?

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, 368, 311, 690, 558.

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}.