Given numbers are 342,541,548,145,713

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

The LCM of 342,541,548,145,713 is 5241208854780.

Find LCM of 342,541,548,145,713 with Prime Factorization

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

2 x 171 x 541 x 274 x 145 x 713 = 5241208854780

Therefore, the lowest common multiple of 342,541,548,145,713 is 5241208854780.

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.

342 x 541 x 548 x 145 x 713 = 10482417709560

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

541 : 1, 541

548 : 1, 2, 4, 137, 274, 548

145 : 1, 5, 29, 145

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,541,548,145,713, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

541:541

548:2x 2x 137

145:5x 29

713:23x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10482417709560/(1x2)

LCM = 10482417709560/2

LCM = 5241208854780

Thus, we can understand that the LCM of 342,541,548,145,713 is 5241208854780.

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

• LCM of 474, 233, 558, 506, 378
• LCM of 104, 473, 265, 470, 868
• LCM of 984, 160, 867, 664, 171
• LCM of 990, 142, 866, 898, 153
• LCM of 755, 161, 324, 240, 169

1. What is the LCM of 342, 541, 548, 145, 713?

Answer: LCM of 342, 541, 548, 145, 713 is 5241208854780.

2. How to calculate the LCM of 342, 541, 548, 145, 713?

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 342, 541, 548, 145, 713.

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}.