Given numbers are 103,198,291,960,348

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

The LCM of 103,198,291,960,348 is 9178931520.

Find LCM of 103,198,291,960,348 with Prime Factorization

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

2 x 2 x 3 x 103 x 33 x 97 x 80 x 29 = 9178931520

Therefore, the lowest common multiple of 103,198,291,960,348 is 9178931520.

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.

103 x 198 x 291 x 960 x 348 = 1982649208320

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.

103 : 1, 103

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

291 : 1, 3, 97, 291

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,198,291,960,348, is 1.

Now, the common factors can be found like this.

103:103

198:2x 3x 3x 11

291:3x 97

960:2x 2x 2x 2x 2x 2x 3x 5

348:2x 2x 3x 29

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 3 = 216

Therefore, the value for common factors is 216.

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 = 1982649208320/(1x216)

LCM = 1982649208320/216

LCM = 9178931520

Thus, we can understand that the LCM of 103,198,291,960,348 is 9178931520.

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

• LCM of 680, 844, 490, 603, 200
• LCM of 844, 328, 300, 603, 405
• LCM of 434, 594, 649, 830, 222
• LCM of 812, 577, 959, 995, 898
• LCM of 511, 858, 233, 843, 840

1. What is the LCM of 103, 198, 291, 960, 348?

Answer: LCM of 103, 198, 291, 960, 348 is 9178931520.

2. How to calculate the LCM of 103, 198, 291, 960, 348?

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 103, 198, 291, 960, 348.

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}.