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LCM of 680, 935, 253, 455

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


Find the LCM of 680, 935, 253, 455 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 680, 935, 253, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,935,253,455

Given numbers are 680,935,253,455

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

The LCM of 680,935,253,455 is 15655640.

Find LCM of 680,935,253,455 with Prime Factorization


5 680, 935, 253, 455
11 136, 187, 253, 91
17 136, 17, 23, 91
8, 1, 23, 91

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

5 x 11 x 17 x 8 x 1 x 23 x 91 = 15655640

Therefore, the lowest common multiple of 680,935,253,455 is 15655640.

LCM Formula to Find Lowest Common Multiple of 680,935,253,455

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 935 x 253 x 455 = 73190117000

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

935 : 1, 5, 11, 17, 55, 85, 187, 935

253 : 1, 11, 23, 253

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,935,253,455, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

935:5x 11x 17

253:11x 23

455:5x 7x 13

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

5x 5x 11x 17 = 4675

Therefore, the value for common factors is 4675.

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 = 73190117000/(1x4675)

LCM = 73190117000/4675

LCM = 15655640

Thus, we can understand that the LCM of 680,935,253,455 is 15655640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 935, 253, 455

1. What is the LCM of 680, 935, 253, 455?

Answer: LCM of 680, 935, 253, 455 is 15655640.

2. How to calculate the LCM of 680, 935, 253, 455?

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, 935, 253, 455.

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}.