Given numbers are 269,107,393,430,680

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

The LCM of 269,107,393,430,680 is 330754663560.

Find LCM of 269,107,393,430,680 with Prime Factorization

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

2 x 5 x 269 x 107 x 393 x 43 x 68 = 330754663560

Therefore, the lowest common multiple of 269,107,393,430,680 is 330754663560.

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.

269 x 107 x 393 x 430 x 680 = 3307546635600

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.

269 : 1, 269

107 : 1, 107

393 : 1, 3, 131, 393

430 : 1, 2, 5, 10, 43, 86, 215, 430

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,107,393,430,680, is 1.

Now, the common factors can be found like this.

269:269

107:107

393:3x 131

430:2x 5x 43

680:2x 2x 2x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 3307546635600/(1x10)

LCM = 3307546635600/10

LCM = 330754663560

Thus, we can understand that the LCM of 269,107,393,430,680 is 330754663560.

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

• LCM of 360, 434, 894, 489, 316
• LCM of 261, 646, 685, 440, 230
• LCM of 828, 536, 299, 198, 975
• LCM of 608, 696, 386, 194, 535
• LCM of 450, 560, 730, 401, 512

1. What is the LCM of 269, 107, 393, 430, 680?

Answer: LCM of 269, 107, 393, 430, 680 is 330754663560.

2. How to calculate the LCM of 269, 107, 393, 430, 680?

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 269, 107, 393, 430, 680.

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}.