Given numbers are 312,893,489,307,489

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

The LCM of 312,893,489,307,489 is 13942223256.

Find LCM of 312,893,489,307,489 with Prime Factorization

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

3 x 163 x 104 x 893 x 1 x 307 x 1 = 13942223256

Therefore, the lowest common multiple of 312,893,489,307,489 is 13942223256.

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.

312 x 893 x 489 x 307 x 489 = 20453241516552

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.

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

893 : 1, 19, 47, 893

489 : 1, 3, 163, 489

307 : 1, 307

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,893,489,307,489, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

893:19x 47

489:3x 163

307:307

489:3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 163 = 1467

Therefore, the value for common factors is 1467.

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 = 20453241516552/(1x1467)

LCM = 20453241516552/1467

LCM = 13942223256

Thus, we can understand that the LCM of 312,893,489,307,489 is 13942223256.

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

• LCM of 802, 493, 886, 338, 767
• LCM of 887, 398, 228, 976, 391
• LCM of 349, 860, 882, 115, 731
• LCM of 398, 851, 720, 147, 213
• LCM of 883, 733, 436, 738, 926

1. What is the LCM of 312, 893, 489, 307, 489?

Answer: LCM of 312, 893, 489, 307, 489 is 13942223256.

2. How to calculate the LCM of 312, 893, 489, 307, 489?

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 312, 893, 489, 307, 489.

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}.