Given numbers are 346,358,507

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

The LCM of 346,358,507 is 31400538.

Find LCM of 346,358,507 with Prime Factorization

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

2 x 173 x 179 x 507 = 31400538

Therefore, the lowest common multiple of 346,358,507 is 31400538.

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.

346 x 358 x 507 = 62801076

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.

346 : 1, 2, 173, 346

358 : 1, 2, 179, 358

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,358,507, is 1.

Now, the common factors can be found like this.

346:2x 173

358:2x 179

507:3x 13x 13

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 = 62801076/(1x2)

LCM = 62801076/2

LCM = 31400538

Thus, we can understand that the LCM of 346,358,507 is 31400538.

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

• LCM of 493, 179, 670
• LCM of 703, 829, 457
• LCM of 322, 339, 304
• LCM of 285, 512, 935
• LCM of 368, 550, 447

1. What is the LCM of 346, 358, 507?

Answer: LCM of 346, 358, 507 is 31400538.

2. How to calculate the LCM of 346, 358, 507?

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 346, 358, 507.

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}.