Given numbers are 467,417,291,561,678

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

The LCM of 467,417,291,561,678 is 798315782946.

Find LCM of 467,417,291,561,678 with Prime Factorization

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

3 x 467 x 139 x 97 x 187 x 226 = 798315782946

Therefore, the lowest common multiple of 467,417,291,561,678 is 798315782946.

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.

467 x 417 x 291 x 561 x 678 = 21554526139542

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.

467 : 1, 467

417 : 1, 3, 139, 417

291 : 1, 3, 97, 291

561 : 1, 3, 11, 17, 33, 51, 187, 561

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 467,417,291,561,678, is 1.

Now, the common factors can be found like this.

467:467

417:3x 139

291:3x 97

561:3x 11x 17

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.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 21554526139542/(1x27)

LCM = 21554526139542/27

LCM = 798315782946

Thus, we can understand that the LCM of 467,417,291,561,678 is 798315782946.

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

• LCM of 415, 761, 613, 328, 635
• LCM of 738, 455, 969, 472, 866
• LCM of 101, 919, 513, 268, 171
• LCM of 636, 698, 858, 974, 536
• LCM of 648, 191, 740, 308, 503

1. What is the LCM of 467, 417, 291, 561, 678?

Answer: LCM of 467, 417, 291, 561, 678 is 798315782946.

2. How to calculate the LCM of 467, 417, 291, 561, 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 467, 417, 291, 561, 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}.