Given numbers are 293,489,307,242,740

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

The LCM of 293,489,307,242,740 is 3938509932060.

Find LCM of 293,489,307,242,740 with Prime Factorization

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

2 x 293 x 489 x 307 x 121 x 370 = 3938509932060

Therefore, the lowest common multiple of 293,489,307,242,740 is 3938509932060.

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.

293 x 489 x 307 x 242 x 740 = 7877019864120

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.

293 : 1, 293

489 : 1, 3, 163, 489

307 : 1, 307

242 : 1, 2, 11, 22, 121, 242

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,489,307,242,740, is 1.

Now, the common factors can be found like this.

293:293

489:3x 163

307:307

242:2x 11x 11

740:2x 2x 5x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7877019864120/(1x2)

LCM = 7877019864120/2

LCM = 3938509932060

Thus, we can understand that the LCM of 293,489,307,242,740 is 3938509932060.

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

• LCM of 372, 266, 634, 309, 141
• LCM of 172, 873, 821, 260, 838
• LCM of 619, 556, 414, 189, 766
• LCM of 830, 537, 834, 258, 343
• LCM of 187, 180, 851, 833, 401

1. What is the LCM of 293, 489, 307, 242, 740?

Answer: LCM of 293, 489, 307, 242, 740 is 3938509932060.

2. How to calculate the LCM of 293, 489, 307, 242, 740?

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 293, 489, 307, 242, 740.

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}.