Given numbers are 680,391,952,989,750

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

The LCM of 680,391,952,989,750 is 353073000.

Find LCM of 680,391,952,989,750 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 23 x 1 x 1 x 7 x 43 x 75 = 353073000

Therefore, the lowest common multiple of 680,391,952,989,750 is 353073000.

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.

680 x 391 x 952 x 989 x 750 = 187750098480000

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.

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

391 : 1, 17, 23, 391

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

989 : 1, 23, 43, 989

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,391,952,989,750, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

391:17x 23

952:2x 2x 2x 7x 17

989:23x 43

750:2x 3x 5x 5x 5

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 5x 17x 17x 23 = 531760

Therefore, the value for common factors is 531760.

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 = 187750098480000/(1x531760)

LCM = 187750098480000/531760

LCM = 353073000

Thus, we can understand that the LCM of 680,391,952,989,750 is 353073000.

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

• LCM of 294, 595, 994, 386, 349
• LCM of 197, 889, 753, 712, 259
• LCM of 260, 770, 289, 886, 979
• LCM of 244, 274, 970, 916, 759
• LCM of 646, 404, 936, 261, 303

1. What is the LCM of 680, 391, 952, 989, 750?

Answer: LCM of 680, 391, 952, 989, 750 is 353073000.

2. How to calculate the LCM of 680, 391, 952, 989, 750?

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 680, 391, 952, 989, 750.

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}.