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LCM of 475, 907, 988, 168, 495

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


Find the LCM of 475, 907, 988, 168, 495 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 475, 907, 988, 168, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,907,988,168,495

Given numbers are 475,907,988,168,495

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

The LCM of 475,907,988,168,495 is 31050419400.

Find LCM of 475,907,988,168,495 with Prime Factorization


2 475, 907, 988, 168, 495
2 475, 907, 494, 84, 495
3 475, 907, 247, 42, 495
5 475, 907, 247, 14, 165
19 95, 907, 247, 14, 33
5, 907, 13, 14, 33

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

2 x 2 x 3 x 5 x 19 x 5 x 907 x 13 x 14 x 33 = 31050419400

Therefore, the lowest common multiple of 475,907,988,168,495 is 31050419400.

LCM Formula to Find Lowest Common Multiple of 475,907,988,168,495

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.

475 x 907 x 988 x 168 x 495 = 35397478116000

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.

475 : 1, 5, 19, 25, 95, 475

907 : 1, 907

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,907,988,168,495, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

907:907

988:2x 2x 13x 19

168:2x 2x 2x 3x 7

495:3x 3x 5x 11

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 19 = 1140

Therefore, the value for common factors is 1140.

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 = 35397478116000/(1x1140)

LCM = 35397478116000/1140

LCM = 31050419400

Thus, we can understand that the LCM of 475,907,988,168,495 is 31050419400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 907, 988, 168, 495

1. What is the LCM of 475, 907, 988, 168, 495?

Answer: LCM of 475, 907, 988, 168, 495 is 31050419400.

2. How to calculate the LCM of 475, 907, 988, 168, 495?

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 475, 907, 988, 168, 495.

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}.