Given numbers are 767,431,377,988,675

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

The LCM of 767,431,377,988,675 is 491799402900.

Find LCM of 767,431,377,988,675 with Prime Factorization

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

13 x 59 x 431 x 29 x 76 x 675 = 491799402900

Therefore, the lowest common multiple of 767,431,377,988,675 is 491799402900.

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 431 x 377 x 988 x 675 = 83114099090100

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

431 : 1, 431

377 : 1, 13, 29, 377

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,431,377,988,675, is 1.

Now, the common factors can be found like this.

767:13x 59

431:431

377:13x 29

988:2x 2x 13x 19

675:3x 3x 3x 5x 5

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 83114099090100/(1x169)

LCM = 83114099090100/169

LCM = 491799402900

Thus, we can understand that the LCM of 767,431,377,988,675 is 491799402900.

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

• LCM of 842, 474, 404, 485, 453
• LCM of 353, 512, 251, 750, 516
• LCM of 498, 617, 601, 223, 640
• LCM of 697, 300, 230, 628, 744
• LCM of 918, 880, 864, 111, 984

1. What is the LCM of 767, 431, 377, 988, 675?

Answer: LCM of 767, 431, 377, 988, 675 is 491799402900.

2. How to calculate the LCM of 767, 431, 377, 988, 675?

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, 431, 377, 988, 675.

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}.