Given numbers are 890,590,340,840

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

The LCM of 890,590,340,840 is 74984280.

Find LCM of 890,590,340,840 with Prime Factorization

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

2 x 2 x 5 x 89 x 59 x 17 x 42 = 74984280

Therefore, the lowest common multiple of 890,590,340,840 is 74984280.

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.

890 x 590 x 340 x 840 = 149968560000

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

590 : 1, 2, 5, 10, 59, 118, 295, 590

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,590,340,840, is 10.

Now, the common factors can be found like this.

890:2x 5x 89

590:2x 5x 59

340:2x 2x 5x 17

840:2x 2x 2x 3x 5x 7

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 149968560000/(10x200)

LCM = 149968560000/2000

LCM = 74984280

Thus, we can understand that the LCM of 890,590,340,840 is 74984280.

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

• LCM of 389, 119, 690, 228
• LCM of 112, 428, 509, 381
• LCM of 650, 622, 812, 691
• LCM of 934, 422, 717, 951
• LCM of 739, 588, 670, 565

1. What is the LCM of 890, 590, 340, 840?

Answer: LCM of 890, 590, 340, 840 is 74984280.

2. How to calculate the LCM of 890, 590, 340, 840?

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 890, 590, 340, 840.

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}.