Given numbers are 561,724,721,978,594

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

The LCM of 561,724,721,978,594 is 429602505948.

Find LCM of 561,724,721,978,594 with Prime Factorization

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

2 x 3 x 11 x 17 x 362 x 721 x 163 x 9 = 429602505948

Therefore, the lowest common multiple of 561,724,721,978,594 is 429602505948.

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.

561 x 724 x 721 x 978 x 594 = 170122592355408

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.

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

724 : 1, 2, 4, 181, 362, 724

721 : 1, 7, 103, 721

978 : 1, 2, 3, 6, 163, 326, 489, 978

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,724,721,978,594, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

724:2x 2x 181

721:7x 103

978:2x 3x 163

594:2x 3x 3x 3x 11

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

2x 2x 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 170122592355408/(1x396)

LCM = 170122592355408/396

LCM = 429602505948

Thus, we can understand that the LCM of 561,724,721,978,594 is 429602505948.

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

• LCM of 255, 988, 643, 496, 308
• LCM of 397, 561, 640, 764, 111
• LCM of 927, 144, 766, 522, 151
• LCM of 648, 362, 956, 820, 533
• LCM of 203, 560, 113, 689, 192

1. What is the LCM of 561, 724, 721, 978, 594?

Answer: LCM of 561, 724, 721, 978, 594 is 429602505948.

2. How to calculate the LCM of 561, 724, 721, 978, 594?

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 561, 724, 721, 978, 594.

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}.