Given numbers are 689,393,301,524

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

The LCM of 689,393,301,524 is 326015508.

Find LCM of 689,393,301,524 with Prime Factorization

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

131 x 689 x 3 x 301 x 4 = 326015508

Therefore, the lowest common multiple of 689,393,301,524 is 326015508.

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 393 x 301 x 524 = 42708031548

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

393 : 1, 3, 131, 393

301 : 1, 7, 43, 301

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,393,301,524, is 1.

Now, the common factors can be found like this.

689:13x 53

393:3x 131

301:7x 43

524:2x 2x 131

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

131 = 131

Therefore, the value for common factors is 131.

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 = 42708031548/(1x131)

LCM = 42708031548/131

LCM = 326015508

Thus, we can understand that the LCM of 689,393,301,524 is 326015508.

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

• LCM of 352, 359, 164, 814
• LCM of 787, 988, 666, 247
• LCM of 962, 709, 400, 560
• LCM of 583, 299, 219, 455
• LCM of 257, 769, 612, 392

1. What is the LCM of 689, 393, 301, 524?

Answer: LCM of 689, 393, 301, 524 is 326015508.

2. How to calculate the LCM of 689, 393, 301, 524?

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, 393, 301, 524.

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}.