Given numbers are 767,518,137,208,169

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

The LCM of 767,518,137,208,169 is 5660815888.

Find LCM of 767,518,137,208,169 with Prime Factorization

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

2 x 13 x 59 x 259 x 137 x 8 x 13 = 5660815888

Therefore, the lowest common multiple of 767,518,137,208,169 is 5660815888.

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.

767 x 518 x 137 x 208 x 169 = 1913355770144

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.

767 : 1, 13, 59, 767

518 : 1, 2, 7, 14, 37, 74, 259, 518

137 : 1, 137

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,518,137,208,169, is 1.

Now, the common factors can be found like this.

767:13x 59

518:2x 7x 37

137:137

208:2x 2x 2x 2x 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.

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 1913355770144/(1x338)

LCM = 1913355770144/338

LCM = 5660815888

Thus, we can understand that the LCM of 767,518,137,208,169 is 5660815888.

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

• LCM of 681, 497, 551, 269, 566
• LCM of 474, 188, 290, 108, 494
• LCM of 815, 295, 686, 436, 321
• LCM of 222, 450, 407, 314, 872
• LCM of 784, 312, 678, 300, 907

1. What is the LCM of 767, 518, 137, 208, 169?

Answer: LCM of 767, 518, 137, 208, 169 is 5660815888.

2. How to calculate the LCM of 767, 518, 137, 208, 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 767, 518, 137, 208, 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}.