Given numbers are 392,547,390,654,814

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

The LCM of 392,547,390,654,814 is 1854935922840.

Find LCM of 392,547,390,654,814 with Prime Factorization

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

2 x 3 x 196 x 547 x 65 x 109 x 407 = 1854935922840

Therefore, the lowest common multiple of 392,547,390,654,814 is 1854935922840.

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.

392 x 547 x 390 x 654 x 814 = 44518462148160

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

547 : 1, 547

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

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 392,547,390,654,814, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

547:547

390:2x 3x 5x 13

654:2x 3x 109

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 44518462148160/(1x24)

LCM = 44518462148160/24

LCM = 1854935922840

Thus, we can understand that the LCM of 392,547,390,654,814 is 1854935922840.

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

• LCM of 942, 577, 902, 291, 747
• LCM of 695, 231, 260, 755, 637
• LCM of 456, 288, 388, 755, 712
• LCM of 630, 286, 865, 910, 869
• LCM of 943, 142, 200, 666, 517

1. What is the LCM of 392, 547, 390, 654, 814?

Answer: LCM of 392, 547, 390, 654, 814 is 1854935922840.

2. How to calculate the LCM of 392, 547, 390, 654, 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 392, 547, 390, 654, 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}.