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LCM of 689, 510, 680, 863, 690

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 689, 510, 680, 863, 690 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 689, 510, 680, 863, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,510,680,863,690

Given numbers are 689,510,680,863,690

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

The LCM of 689,510,680,863,690 is 27898960440.

Find LCM of 689,510,680,863,690 with Prime Factorization


2 689, 510, 680, 863, 690
3 689, 255, 340, 863, 345
5 689, 85, 340, 863, 115
17 689, 17, 68, 863, 23
689, 1, 4, 863, 23

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

2 x 3 x 5 x 17 x 689 x 1 x 4 x 863 x 23 = 27898960440

Therefore, the lowest common multiple of 689,510,680,863,690 is 27898960440.

LCM Formula to Find Lowest Common Multiple of 689,510,680,863,690

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 510 x 680 x 863 x 690 = 142284698244000

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

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

863 : 1, 863

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,510,680,863,690, is 1.

Now, the common factors can be found like this.

689:13x 53

510:2x 3x 5x 17

680:2x 2x 2x 5x 17

863:863

690:2x 3x 5x 23

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 3x 5x 5x 17 = 5100

Therefore, the value for common factors is 5100.

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 = 142284698244000/(1x5100)

LCM = 142284698244000/5100

LCM = 27898960440

Thus, we can understand that the LCM of 689,510,680,863,690 is 27898960440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 510, 680, 863, 690

1. What is the LCM of 689, 510, 680, 863, 690?

Answer: LCM of 689, 510, 680, 863, 690 is 27898960440.

2. How to calculate the LCM of 689, 510, 680, 863, 690?

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, 510, 680, 863, 690.

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}.