Given numbers are 343,312,542

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

The LCM of 343,312,542 is 29001336.

Find LCM of 343,312,542 with Prime Factorization

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

2 x 343 x 156 x 271 = 29001336

Therefore, the lowest common multiple of 343,312,542 is 29001336.

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.

343 x 312 x 542 = 58002672

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.

343 : 1, 7, 49, 343

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,312,542, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

312:2x 2x 2x 3x 13

542:2x 271

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 = 58002672/(1x2)

LCM = 58002672/2

LCM = 29001336

Thus, we can understand that the LCM of 343,312,542 is 29001336.

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

• LCM of 664, 861, 707
• LCM of 632, 359, 453
• LCM of 188, 839, 341
• LCM of 652, 211, 407
• LCM of 693, 464, 995

1. What is the LCM of 343, 312, 542?

Answer: LCM of 343, 312, 542 is 29001336.

2. How to calculate the LCM of 343, 312, 542?

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 343, 312, 542.

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}.