Given numbers are 930,555,420,958

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

The LCM of 930,555,420,958 is 230753460.

Find LCM of 930,555,420,958 with Prime Factorization

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

2 x 3 x 5 x 31 x 37 x 14 x 479 = 230753460

Therefore, the lowest common multiple of 930,555,420,958 is 230753460.

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.

930 x 555 x 420 x 958 = 207678114000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

555 : 1, 3, 5, 15, 37, 111, 185, 555

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,555,420,958, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

555:3x 5x 37

420:2x 2x 3x 5x 7

958:2x 479

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 207678114000/(1x900)

LCM = 207678114000/900

LCM = 230753460

Thus, we can understand that the LCM of 930,555,420,958 is 230753460.

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

• LCM of 838, 400, 375, 304
• LCM of 700, 168, 826, 477
• LCM of 753, 284, 214, 609
• LCM of 884, 423, 701, 392
• LCM of 664, 744, 463, 920

1. What is the LCM of 930, 555, 420, 958?

Answer: LCM of 930, 555, 420, 958 is 230753460.

2. How to calculate the LCM of 930, 555, 420, 958?

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 930, 555, 420, 958.

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}.