Given numbers are 107,135,460,161,767

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

The LCM of 107,135,460,161,767 is 7135078860.

Find LCM of 107,135,460,161,767 with Prime Factorization

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

5 x 23 x 107 x 27 x 4 x 7 x 767 = 7135078860

Therefore, the lowest common multiple of 107,135,460,161,767 is 7135078860.

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.

107 x 135 x 460 x 161 x 767 = 820534068900

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.

107 : 1, 107

135 : 1, 3, 5, 9, 15, 27, 45, 135

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

161 : 1, 7, 23, 161

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,135,460,161,767, is 1.

Now, the common factors can be found like this.

107:107

135:3x 3x 3x 5

460:2x 2x 5x 23

161:7x 23

767:13x 59

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 820534068900/(1x115)

LCM = 820534068900/115

LCM = 7135078860

Thus, we can understand that the LCM of 107,135,460,161,767 is 7135078860.

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

• LCM of 829, 565, 489, 117, 461
• LCM of 823, 994, 949, 538, 254
• LCM of 476, 549, 297, 116, 322
• LCM of 455, 570, 308, 551, 757
• LCM of 520, 403, 450, 611, 408

1. What is the LCM of 107, 135, 460, 161, 767?

Answer: LCM of 107, 135, 460, 161, 767 is 7135078860.

2. How to calculate the LCM of 107, 135, 460, 161, 767?

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 107, 135, 460, 161, 767.

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}.