Given numbers are 345,509,372,543

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

The LCM of 345,509,372,543 is 3941278620.

Find LCM of 345,509,372,543 with Prime Factorization

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

3 x 115 x 509 x 124 x 181 = 3941278620

Therefore, the lowest common multiple of 345,509,372,543 is 3941278620.

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 509 x 372 x 543 = 35471507580

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

509 : 1, 509

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,509,372,543, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

509:509

372:2x 2x 3x 31

543:3x 181

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 = 35471507580/(1x9)

LCM = 35471507580/9

LCM = 3941278620

Thus, we can understand that the LCM of 345,509,372,543 is 3941278620.

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

• LCM of 937, 868, 526, 354
• LCM of 454, 984, 867, 550
• LCM of 434, 254, 227, 254
• LCM of 446, 685, 740, 120
• LCM of 661, 826, 975, 569

1. What is the LCM of 345, 509, 372, 543?

Answer: LCM of 345, 509, 372, 543 is 3941278620.

2. How to calculate the LCM of 345, 509, 372, 543?

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, 509, 372, 543.

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}.