Given numbers are 345,504,379,171

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

The LCM of 345,504,379,171 is 417369960.

Find LCM of 345,504,379,171 with Prime Factorization

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

3 x 3 x 115 x 56 x 379 x 19 = 417369960

Therefore, the lowest common multiple of 345,504,379,171 is 417369960.

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 504 x 379 x 171 = 11268988920

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

379 : 1, 379

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,504,379,171, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

504:2x 2x 2x 3x 3x 7

379:379

171:3x 3x 19

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 11268988920/(1x27)

LCM = 11268988920/27

LCM = 417369960

Thus, we can understand that the LCM of 345,504,379,171 is 417369960.

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

• LCM of 823, 646, 952, 217
• LCM of 795, 952, 661, 183
• LCM of 640, 864, 932, 212
• LCM of 337, 928, 852, 654
• LCM of 176, 871, 356, 971

1. What is the LCM of 345, 504, 379, 171?

Answer: LCM of 345, 504, 379, 171 is 417369960.

2. How to calculate the LCM of 345, 504, 379, 171?

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, 504, 379, 171.

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}.