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LCM of 485, 455, 920, 253, 107

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


Find the LCM of 485, 455, 920, 253, 107 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 485, 455, 920, 253, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,455,920,253,107

Given numbers are 485,455,920,253,107

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

The LCM of 485,455,920,253,107 is 9558228680.

Find LCM of 485,455,920,253,107 with Prime Factorization


5 485, 455, 920, 253, 107
23 97, 91, 184, 253, 107
97, 91, 8, 11, 107

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

5 x 23 x 97 x 91 x 8 x 11 x 107 = 9558228680

Therefore, the lowest common multiple of 485,455,920,253,107 is 9558228680.

LCM Formula to Find Lowest Common Multiple of 485,455,920,253,107

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.

485 x 455 x 920 x 253 x 107 = 5495981491000

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.

485 : 1, 5, 97, 485

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

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

253 : 1, 11, 23, 253

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,455,920,253,107, is 1.

Now, the common factors can be found like this.

485:5x 97

455:5x 7x 13

920:2x 2x 2x 5x 23

253:11x 23

107:107

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 23 = 575

Therefore, the value for common factors is 575.

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 = 5495981491000/(1x575)

LCM = 5495981491000/575

LCM = 9558228680

Thus, we can understand that the LCM of 485,455,920,253,107 is 9558228680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 455, 920, 253, 107

1. What is the LCM of 485, 455, 920, 253, 107?

Answer: LCM of 485, 455, 920, 253, 107 is 9558228680.

2. How to calculate the LCM of 485, 455, 920, 253, 107?

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 485, 455, 920, 253, 107.

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}.