Given numbers are 798,354,585,138,293

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

The LCM of 798,354,585,138,293 is 61870691610.

Find LCM of 798,354,585,138,293 with Prime Factorization

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

2 x 3 x 133 x 59 x 195 x 23 x 293 = 61870691610

Therefore, the lowest common multiple of 798,354,585,138,293 is 61870691610.

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.

798 x 354 x 585 x 138 x 293 = 6682034693880

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

354 : 1, 2, 3, 6, 59, 118, 177, 354

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

138 : 1, 2, 3, 6, 23, 46, 69, 138

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,354,585,138,293, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

354:2x 3x 59

585:3x 3x 5x 13

138:2x 3x 23

293:293

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 6682034693880/(1x108)

LCM = 6682034693880/108

LCM = 61870691610

Thus, we can understand that the LCM of 798,354,585,138,293 is 61870691610.

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

• LCM of 851, 895, 452, 640, 607
• LCM of 968, 991, 749, 298, 286
• LCM of 906, 726, 443, 938, 918
• LCM of 860, 549, 650, 315, 674
• LCM of 751, 962, 906, 999, 899

1. What is the LCM of 798, 354, 585, 138, 293?

Answer: LCM of 798, 354, 585, 138, 293 is 61870691610.

2. How to calculate the LCM of 798, 354, 585, 138, 293?

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 798, 354, 585, 138, 293.

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}.