Given numbers are 930,292,721,814

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

The LCM of 930,292,721,814 is 39844233660.

Find LCM of 930,292,721,814 with Prime Factorization

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

2 x 465 x 146 x 721 x 407 = 39844233660

Therefore, the lowest common multiple of 930,292,721,814 is 39844233660.

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 292 x 721 x 814 = 159376934640

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

292 : 1, 2, 4, 73, 146, 292

721 : 1, 7, 103, 721

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,292,721,814, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

292:2x 2x 73

721:7x 103

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 159376934640/(1x4)

LCM = 159376934640/4

LCM = 39844233660

Thus, we can understand that the LCM of 930,292,721,814 is 39844233660.

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

• LCM of 412, 363, 761, 836
• LCM of 926, 604, 479, 356
• LCM of 611, 200, 578, 550
• LCM of 960, 291, 881, 128
• LCM of 200, 728, 799, 928

1. What is the LCM of 930, 292, 721, 814?

Answer: LCM of 930, 292, 721, 814 is 39844233660.

2. How to calculate the LCM of 930, 292, 721, 814?

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, 292, 721, 814.

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}.