Given numbers are 678,225,817,312,574

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

The LCM of 678,225,817,312,574 is 620009371800.

Find LCM of 678,225,817,312,574 with Prime Factorization

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

2 x 3 x 113 x 75 x 817 x 52 x 287 = 620009371800

Therefore, the lowest common multiple of 678,225,817,312,574 is 620009371800.

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.

678 x 225 x 817 x 312 x 574 = 22320337384800

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

817 : 1, 19, 43, 817

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,225,817,312,574, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

225:3x 3x 5x 5

817:19x 43

312:2x 2x 2x 3x 13

574:2x 7x 41

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 3 = 36

Therefore, the value for common factors is 36.

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 = 22320337384800/(1x36)

LCM = 22320337384800/36

LCM = 620009371800

Thus, we can understand that the LCM of 678,225,817,312,574 is 620009371800.

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

• LCM of 968, 315, 256, 143, 371
• LCM of 886, 521, 568, 327, 628
• LCM of 955, 781, 481, 483, 855
• LCM of 521, 678, 672, 296, 221
• LCM of 176, 286, 734, 126, 418

1. What is the LCM of 678, 225, 817, 312, 574?

Answer: LCM of 678, 225, 817, 312, 574 is 620009371800.

2. How to calculate the LCM of 678, 225, 817, 312, 574?

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 678, 225, 817, 312, 574.

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}.