Given numbers are 505,341,156,169

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

The LCM of 505,341,156,169 is 349231740.

Find LCM of 505,341,156,169 with Prime Factorization

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

13 x 505 x 341 x 12 x 13 = 349231740

Therefore, the lowest common multiple of 505,341,156,169 is 349231740.

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.

505 x 341 x 156 x 169 = 4540012620

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.

505 : 1, 5, 101, 505

341 : 1, 11, 31, 341

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,341,156,169, is 1.

Now, the common factors can be found like this.

505:5x 101

341:11x 31

156:2x 2x 3x 13

169:13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 4540012620/(1x13)

LCM = 4540012620/13

LCM = 349231740

Thus, we can understand that the LCM of 505,341,156,169 is 349231740.

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

• LCM of 956, 237, 899, 646
• LCM of 488, 409, 783, 839
• LCM of 796, 111, 210, 988
• LCM of 696, 825, 142, 599
• LCM of 397, 391, 155, 301

1. What is the LCM of 505, 341, 156, 169?

Answer: LCM of 505, 341, 156, 169 is 349231740.

2. How to calculate the LCM of 505, 341, 156, 169?

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 505, 341, 156, 169.

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}.