Given numbers are 345,426,517,471

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

The LCM of 345,426,517,471 is 3976469310.

Find LCM of 345,426,517,471 with Prime Factorization

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

3 x 115 x 142 x 517 x 157 = 3976469310

Therefore, the lowest common multiple of 345,426,517,471 is 3976469310.

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 426 x 517 x 471 = 35788223790

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

517 : 1, 11, 47, 517

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,426,517,471, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

426:2x 3x 71

517:11x 47

471:3x 157

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 35788223790/(1x9)

LCM = 35788223790/9

LCM = 3976469310

Thus, we can understand that the LCM of 345,426,517,471 is 3976469310.

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

• LCM of 421, 465, 956, 616
• LCM of 620, 970, 612, 645
• LCM of 598, 287, 751, 401
• LCM of 825, 921, 778, 256
• LCM of 567, 959, 239, 113

1. What is the LCM of 345, 426, 517, 471?

Answer: LCM of 345, 426, 517, 471 is 3976469310.

2. How to calculate the LCM of 345, 426, 517, 471?

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, 426, 517, 471.

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}.