Given numbers are 491,678,586,767

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

The LCM of 491,678,586,767 is 74812500438.

Find LCM of 491,678,586,767 with Prime Factorization

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

2 x 491 x 339 x 293 x 767 = 74812500438

Therefore, the lowest common multiple of 491,678,586,767 is 74812500438.

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 678 x 586 x 767 = 149625000876

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

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

586 : 1, 2, 293, 586

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,678,586,767, is 1.

Now, the common factors can be found like this.

491:491

678:2x 3x 113

586:2x 293

767:13x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 149625000876/(1x2)

LCM = 149625000876/2

LCM = 74812500438

Thus, we can understand that the LCM of 491,678,586,767 is 74812500438.

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

• LCM of 508, 525, 538, 645
• LCM of 462, 283, 554, 153
• LCM of 158, 700, 590, 302
• LCM of 754, 636, 727, 241
• LCM of 321, 277, 964, 782

1. What is the LCM of 491, 678, 586, 767?

Answer: LCM of 491, 678, 586, 767 is 74812500438.

2. How to calculate the LCM of 491, 678, 586, 767?

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, 678, 586, 767.

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}.