Given numbers are 930,631,360,342

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

The LCM of 930,631,360,342 is 133797240.

Find LCM of 930,631,360,342 with Prime Factorization

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

2 x 3 x 3 x 5 x 31 x 631 x 4 x 19 = 133797240

Therefore, the lowest common multiple of 930,631,360,342 is 133797240.

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 631 x 360 x 342 = 72250509600

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

631 : 1, 631

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,631,360,342, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

631:631

360:2x 2x 2x 3x 3x 5

342:2x 3x 3x 19

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 72250509600/(1x540)

LCM = 72250509600/540

LCM = 133797240

Thus, we can understand that the LCM of 930,631,360,342 is 133797240.

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

• LCM of 646, 822, 791, 553
• LCM of 630, 909, 301, 699
• LCM of 270, 942, 800, 340
• LCM of 181, 796, 165, 770
• LCM of 792, 560, 721, 235

1. What is the LCM of 930, 631, 360, 342?

Answer: LCM of 930, 631, 360, 342 is 133797240.

2. How to calculate the LCM of 930, 631, 360, 342?

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, 631, 360, 342.

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}.