Given numbers are 688,920,345,523

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

The LCM of 688,920,345,523 is 124139280.

Find LCM of 688,920,345,523 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 86 x 1 x 3 x 523 = 124139280

Therefore, the lowest common multiple of 688,920,345,523 is 124139280.

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.

688 x 920 x 345 x 523 = 114208137600

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

345 : 1, 3, 5, 15, 23, 69, 115, 345

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,920,345,523, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

920:2x 2x 2x 5x 23

345:3x 5x 23

523:523

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 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 114208137600/(1x920)

LCM = 114208137600/920

LCM = 124139280

Thus, we can understand that the LCM of 688,920,345,523 is 124139280.

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

• LCM of 704, 322, 946, 916
• LCM of 642, 406, 946, 524
• LCM of 626, 516, 205, 293
• LCM of 913, 886, 900, 239
• LCM of 726, 266, 500, 132

1. What is the LCM of 688, 920, 345, 523?

Answer: LCM of 688, 920, 345, 523 is 124139280.

2. How to calculate the LCM of 688, 920, 345, 523?

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 688, 920, 345, 523.

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}.