Given numbers are 491,764,350,678

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

The LCM of 491,764,350,678 is 22254231300.

Find LCM of 491,764,350,678 with Prime Factorization

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

2 x 491 x 382 x 175 x 339 = 22254231300

Therefore, the lowest common multiple of 491,764,350,678 is 22254231300.

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.

491 x 764 x 350 x 678 = 89016925200

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.

491 : 1, 491

764 : 1, 2, 4, 191, 382, 764

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,764,350,678, is 1.

Now, the common factors can be found like this.

491:491

764:2x 2x 191

350:2x 5x 5x 7

678:2x 3x 113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 89016925200/(1x4)

LCM = 89016925200/4

LCM = 22254231300

Thus, we can understand that the LCM of 491,764,350,678 is 22254231300.

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

• LCM of 320, 230, 412, 253
• LCM of 460, 134, 644, 656
• LCM of 350, 910, 391, 632
• LCM of 826, 363, 443, 776
• LCM of 538, 661, 209, 760

1. What is the LCM of 491, 764, 350, 678?

Answer: LCM of 491, 764, 350, 678 is 22254231300.

2. How to calculate the LCM of 491, 764, 350, 678?

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 491, 764, 350, 678.

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}.