Given numbers are 505,220,455,169

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

The LCM of 505,220,455,169 is 26286260.

Find LCM of 505,220,455,169 with Prime Factorization

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

5 x 13 x 101 x 44 x 7 x 13 = 26286260

Therefore, the lowest common multiple of 505,220,455,169 is 26286260.

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 220 x 455 x 169 = 8543034500

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

455 : 1, 5, 7, 13, 35, 65, 91, 455

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,220,455,169, is 1.

Now, the common factors can be found like this.

505:5x 101

220:2x 2x 5x 11

455:5x 7x 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.

5x 5x 13 = 325

Therefore, the value for common factors is 325.

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 = 8543034500/(1x325)

LCM = 8543034500/325

LCM = 26286260

Thus, we can understand that the LCM of 505,220,455,169 is 26286260.

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

• LCM of 757, 109, 993, 794
• LCM of 754, 577, 502, 840
• LCM of 513, 117, 677, 134
• LCM of 776, 347, 216, 339
• LCM of 727, 943, 425, 745

1. What is the LCM of 505, 220, 455, 169?

Answer: LCM of 505, 220, 455, 169 is 26286260.

2. How to calculate the LCM of 505, 220, 455, 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, 220, 455, 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}.