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LCM of 106, 253, 488, 517, 757

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


Find the LCM of 106, 253, 488, 517, 757 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 106, 253, 488, 517, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,253,488,517,757

Given numbers are 106,253,488,517,757

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

The LCM of 106,253,488,517,757 is 232814459768.

Find LCM of 106,253,488,517,757 with Prime Factorization


2 106, 253, 488, 517, 757
11 53, 253, 244, 517, 757
53, 23, 244, 47, 757

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

2 x 11 x 53 x 23 x 244 x 47 x 757 = 232814459768

Therefore, the lowest common multiple of 106,253,488,517,757 is 232814459768.

LCM Formula to Find Lowest Common Multiple of 106,253,488,517,757

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.

106 x 253 x 488 x 517 x 757 = 5121918114896

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.

106 : 1, 2, 53, 106

253 : 1, 11, 23, 253

488 : 1, 2, 4, 8, 61, 122, 244, 488

517 : 1, 11, 47, 517

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,253,488,517,757, is 1.

Now, the common factors can be found like this.

106:2x 53

253:11x 23

488:2x 2x 2x 61

517:11x 47

757:757

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 5121918114896/(1x22)

LCM = 5121918114896/22

LCM = 232814459768

Thus, we can understand that the LCM of 106,253,488,517,757 is 232814459768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 253, 488, 517, 757

1. What is the LCM of 106, 253, 488, 517, 757?

Answer: LCM of 106, 253, 488, 517, 757 is 232814459768.

2. How to calculate the LCM of 106, 253, 488, 517, 757?

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 106, 253, 488, 517, 757.

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}.