Given numbers are 648,202,389,425,312

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

The LCM of 648,202,389,425,312 is 140662477800.

Find LCM of 648,202,389,425,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 27 x 101 x 389 x 425 x 13 = 140662477800

Therefore, the lowest common multiple of 648,202,389,425,312 is 140662477800.

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.

648 x 202 x 389 x 425 x 312 = 6751798934400

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

202 : 1, 2, 101, 202

389 : 1, 389

425 : 1, 5, 17, 25, 85, 425

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,202,389,425,312, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

202:2x 101

389:389

425:5x 5x 17

312:2x 2x 2x 3x 13

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 6751798934400/(1x48)

LCM = 6751798934400/48

LCM = 140662477800

Thus, we can understand that the LCM of 648,202,389,425,312 is 140662477800.

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

• LCM of 831, 583, 728, 489, 278
• LCM of 641, 339, 781, 463, 146
• LCM of 709, 353, 194, 221, 988
• LCM of 842, 366, 110, 221, 320
• LCM of 908, 673, 156, 906, 797

1. What is the LCM of 648, 202, 389, 425, 312?

Answer: LCM of 648, 202, 389, 425, 312 is 140662477800.

2. How to calculate the LCM of 648, 202, 389, 425, 312?

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 648, 202, 389, 425, 312.

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}.