Given numbers are 169,126,312,858,465

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

The LCM of 169,126,312,858,465 is 145225080.

Find LCM of 169,126,312,858,465 with Prime Factorization

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

2 x 3 x 13 x 13 x 21 x 4 x 11 x 155 = 145225080

Therefore, the lowest common multiple of 169,126,312,858,465 is 145225080.

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.

169 x 126 x 312 x 858 x 465 = 2650648160160

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.

169 : 1, 13, 169

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,126,312,858,465, is 1.

Now, the common factors can be found like this.

169:13x 13

126:2x 3x 3x 7

312:2x 2x 2x 3x 13

858:2x 3x 11x 13

465:3x 5x 31

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

2x 2x 3x 3x 3x 13x 13 = 18252

Therefore, the value for common factors is 18252.

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 = 2650648160160/(1x18252)

LCM = 2650648160160/18252

LCM = 145225080

Thus, we can understand that the LCM of 169,126,312,858,465 is 145225080.

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

• LCM of 363, 576, 290, 512, 219
• LCM of 904, 288, 269, 447, 775
• LCM of 515, 796, 989, 387, 327
• LCM of 640, 421, 157, 159, 687
• LCM of 144, 792, 149, 857, 396

1. What is the LCM of 169, 126, 312, 858, 465?

Answer: LCM of 169, 126, 312, 858, 465 is 145225080.

2. How to calculate the LCM of 169, 126, 312, 858, 465?

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 169, 126, 312, 858, 465.

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}.