Given numbers are 438,774,390,780,931

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

The LCM of 438,774,390,780,931 is 6838437060.

Find LCM of 438,774,390,780,931 with Prime Factorization

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

2 x 3 x 5 x 13 x 73 x 129 x 1 x 2 x 931 = 6838437060

Therefore, the lowest common multiple of 438,774,390,780,931 is 6838437060.

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.

438 x 774 x 390 x 780 x 931 = 96011656322400

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,774,390,780,931, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

774:2x 3x 3x 43

390:2x 3x 5x 13

780:2x 2x 3x 5x 13

931:7x 7x 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 2x 3x 3x 3x 5x 13 = 14040

Therefore, the value for common factors is 14040.

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 = 96011656322400/(1x14040)

LCM = 96011656322400/14040

LCM = 6838437060

Thus, we can understand that the LCM of 438,774,390,780,931 is 6838437060.

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

• LCM of 913, 217, 242, 238, 901
• LCM of 873, 417, 331, 965, 545
• LCM of 131, 302, 993, 526, 542
• LCM of 131, 809, 689, 677, 819
• LCM of 665, 184, 795, 819, 570

1. What is the LCM of 438, 774, 390, 780, 931?

Answer: LCM of 438, 774, 390, 780, 931 is 6838437060.

2. How to calculate the LCM of 438, 774, 390, 780, 931?

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 438, 774, 390, 780, 931.

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}.