Given numbers are 789,759,461

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

The LCM of 789,759,461 is 92023437.

Find LCM of 789,759,461 with Prime Factorization

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

3 x 263 x 253 x 461 = 92023437

Therefore, the lowest common multiple of 789,759,461 is 92023437.

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.

789 x 759 x 461 = 276070311

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.

789 : 1, 3, 263, 789

759 : 1, 3, 11, 23, 33, 69, 253, 759

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,759,461, is 1.

Now, the common factors can be found like this.

789:3x 263

759:3x 11x 23

461:461

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

3 = 3

Therefore, the value for common factors is 3.

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 = 276070311/(1x3)

LCM = 276070311/3

LCM = 92023437

Thus, we can understand that the LCM of 789,759,461 is 92023437.

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

• LCM of 978, 960, 150
• LCM of 838, 306, 530
• LCM of 584, 716, 464
• LCM of 546, 335, 271
• LCM of 778, 471, 422

1. What is the LCM of 789, 759, 461?

Answer: LCM of 789, 759, 461 is 92023437.

2. How to calculate the LCM of 789, 759, 461?

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 789, 759, 461.

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}.