Given numbers are 313,551,630,132,360

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

The LCM of 313,551,630,132,360 is 4780674360.

Find LCM of 313,551,630,132,360 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 313 x 551 x 7 x 11 x 2 = 4780674360

Therefore, the lowest common multiple of 313,551,630,132,360 is 4780674360.

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.

313 x 551 x 630 x 132 x 360 = 5163128308800

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.

313 : 1, 313

551 : 1, 19, 29, 551

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,551,630,132,360, is 1.

Now, the common factors can be found like this.

313:313

551:19x 29

630:2x 3x 3x 5x 7

132:2x 2x 3x 11

360:2x 2x 2x 3x 3x 5

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 5 = 1080

Therefore, the value for common factors is 1080.

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 = 5163128308800/(1x1080)

LCM = 5163128308800/1080

LCM = 4780674360

Thus, we can understand that the LCM of 313,551,630,132,360 is 4780674360.

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

• LCM of 760, 676, 998, 577, 304
• LCM of 970, 544, 966, 243, 857
• LCM of 320, 508, 964, 804, 613
• LCM of 692, 712, 853, 226, 653
• LCM of 817, 418, 149, 441, 459

1. What is the LCM of 313, 551, 630, 132, 360?

Answer: LCM of 313, 551, 630, 132, 360 is 4780674360.

2. How to calculate the LCM of 313, 551, 630, 132, 360?

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 313, 551, 630, 132, 360.

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}.