Given numbers are 345,193,617,883,920

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

The LCM of 345,193,617,883,920 is 290209923480.

Find LCM of 345,193,617,883,920 with Prime Factorization

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

5 x 23 x 3 x 193 x 617 x 883 x 8 = 290209923480

Therefore, the lowest common multiple of 345,193,617,883,920 is 290209923480.

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.

345 x 193 x 617 x 883 x 920 = 33374141200200

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

193 : 1, 193

617 : 1, 617

883 : 1, 883

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,193,617,883,920, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

193:193

617:617

883:883

920:2x 2x 2x 5x 23

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 33374141200200/(1x115)

LCM = 33374141200200/115

LCM = 290209923480

Thus, we can understand that the LCM of 345,193,617,883,920 is 290209923480.

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

• LCM of 567, 535, 867, 984, 126
• LCM of 982, 708, 438, 331, 703
• LCM of 956, 642, 747, 577, 255
• LCM of 206, 811, 191, 415, 101
• LCM of 115, 756, 832, 369, 484

1. What is the LCM of 345, 193, 617, 883, 920?

Answer: LCM of 345, 193, 617, 883, 920 is 290209923480.

2. How to calculate the LCM of 345, 193, 617, 883, 920?

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 345, 193, 617, 883, 920.

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}.