Given numbers are 767,163,207,542,460

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

The LCM of 767,163,207,542,460 is 140266060740.

Find LCM of 767,163,207,542,460 with Prime Factorization

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

2 x 23 x 767 x 163 x 9 x 271 x 10 = 140266060740

Therefore, the lowest common multiple of 767,163,207,542,460 is 140266060740.

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 163 x 207 x 542 x 460 = 6452238794040

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

163 : 1, 163

207 : 1, 3, 9, 23, 69, 207

542 : 1, 2, 271, 542

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,163,207,542,460, is 1.

Now, the common factors can be found like this.

767:13x 59

163:163

207:3x 3x 23

542:2x 271

460:2x 2x 5x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 6452238794040/(1x46)

LCM = 6452238794040/46

LCM = 140266060740

Thus, we can understand that the LCM of 767,163,207,542,460 is 140266060740.

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

• LCM of 349, 413, 273, 141, 904
• LCM of 532, 661, 943, 987, 667
• LCM of 483, 589, 157, 853, 328
• LCM of 128, 305, 213, 247, 207
• LCM of 531, 780, 164, 968, 435

1. What is the LCM of 767, 163, 207, 542, 460?

Answer: LCM of 767, 163, 207, 542, 460 is 140266060740.

2. How to calculate the LCM of 767, 163, 207, 542, 460?

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, 163, 207, 542, 460.

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}.