Given numbers are 689,302,412,755

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

The LCM of 689,302,412,755 is 214320340.

Find LCM of 689,302,412,755 with Prime Factorization

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

2 x 151 x 689 x 1 x 206 x 5 = 214320340

Therefore, the lowest common multiple of 689,302,412,755 is 214320340.

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.

689 x 302 x 412 x 755 = 64724742680

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.

689 : 1, 13, 53, 689

302 : 1, 2, 151, 302

412 : 1, 2, 4, 103, 206, 412

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,302,412,755, is 1.

Now, the common factors can be found like this.

689:13x 53

302:2x 151

412:2x 2x 103

755:5x 151

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

2x 151 = 302

Therefore, the value for common factors is 302.

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 = 64724742680/(1x302)

LCM = 64724742680/302

LCM = 214320340

Thus, we can understand that the LCM of 689,302,412,755 is 214320340.

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

• LCM of 934, 562, 677, 977
• LCM of 900, 927, 970, 967
• LCM of 134, 156, 224, 607
• LCM of 356, 920, 677, 574
• LCM of 146, 265, 749, 605

1. What is the LCM of 689, 302, 412, 755?

Answer: LCM of 689, 302, 412, 755 is 214320340.

2. How to calculate the LCM of 689, 302, 412, 755?

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 689, 302, 412, 755.

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}.