Given numbers are 705,680,920,248

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

The LCM of 705,680,920,248 is 68362440.

Find LCM of 705,680,920,248 with Prime Factorization

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

2 x 2 x 2 x 5 x 141 x 17 x 23 x 31 = 68362440

Therefore, the lowest common multiple of 705,680,920,248 is 68362440.

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.

705 x 680 x 920 x 248 = 109379904000

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,680,920,248, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

680:2x 2x 2x 5x 17

920:2x 2x 2x 5x 23

248:2x 2x 2x 31

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 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 109379904000/(1x1600)

LCM = 109379904000/1600

LCM = 68362440

Thus, we can understand that the LCM of 705,680,920,248 is 68362440.

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

• LCM of 137, 731, 829, 911
• LCM of 815, 575, 490, 639
• LCM of 132, 283, 150, 736
• LCM of 167, 474, 239, 277
• LCM of 583, 653, 218, 123

1. What is the LCM of 705, 680, 920, 248?

Answer: LCM of 705, 680, 920, 248 is 68362440.

2. How to calculate the LCM of 705, 680, 920, 248?

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 705, 680, 920, 248.

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}.