Given numbers are 348,107,162,505

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

The LCM of 348,107,162,505 is 507712860.

Find LCM of 348,107,162,505 with Prime Factorization

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

2 x 3 x 58 x 107 x 27 x 505 = 507712860

Therefore, the lowest common multiple of 348,107,162,505 is 507712860.

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.

348 x 107 x 162 x 505 = 3046277160

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

107 : 1, 107

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,107,162,505, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

107:107

162:2x 3x 3x 3x 3

505:5x 101

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3046277160/(1x6)

LCM = 3046277160/6

LCM = 507712860

Thus, we can understand that the LCM of 348,107,162,505 is 507712860.

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

• LCM of 137, 803, 222, 526
• LCM of 531, 222, 775, 450
• LCM of 896, 967, 882, 792
• LCM of 156, 996, 243, 231
• LCM of 521, 975, 810, 990

1. What is the LCM of 348, 107, 162, 505?

Answer: LCM of 348, 107, 162, 505 is 507712860.

2. How to calculate the LCM of 348, 107, 162, 505?

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 348, 107, 162, 505.

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}.