Given numbers are 676,269,660,594,102

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

The LCM of 676,269,660,594,102 is 4590651780.

Find LCM of 676,269,660,594,102 with Prime Factorization

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

2 x 2 x 3 x 11 x 169 x 269 x 5 x 9 x 17 = 4590651780

Therefore, the lowest common multiple of 676,269,660,594,102 is 4590651780.

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.

676 x 269 x 660 x 594 x 102 = 7271592419520

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

269 : 1, 269

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,269,660,594,102, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

269:269

660:2x 2x 3x 5x 11

594:2x 3x 3x 3x 11

102:2x 3x 17

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 2x 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 7271592419520/(1x1584)

LCM = 7271592419520/1584

LCM = 4590651780

Thus, we can understand that the LCM of 676,269,660,594,102 is 4590651780.

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

• LCM of 985, 189, 273, 426, 376
• LCM of 171, 421, 453, 494, 256
• LCM of 909, 153, 198, 533, 820
• LCM of 892, 508, 291, 637, 537
• LCM of 454, 385, 618, 131, 708

1. What is the LCM of 676, 269, 660, 594, 102?

Answer: LCM of 676, 269, 660, 594, 102 is 4590651780.

2. How to calculate the LCM of 676, 269, 660, 594, 102?

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 676, 269, 660, 594, 102.

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}.