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LCM of 985, 180, 818, 620, 475

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


Find the LCM of 985, 180, 818, 620, 475 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 985, 180, 818, 620, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,180,818,620,475

Given numbers are 985,180,818,620,475

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

The LCM of 985,180,818,620,475 is 42711747300.

Find LCM of 985,180,818,620,475 with Prime Factorization


2 985, 180, 818, 620, 475
2 985, 90, 409, 310, 475
5 985, 45, 409, 155, 475
197, 9, 409, 31, 95

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

2 x 2 x 5 x 197 x 9 x 409 x 31 x 95 = 42711747300

Therefore, the lowest common multiple of 985,180,818,620,475 is 42711747300.

LCM Formula to Find Lowest Common Multiple of 985,180,818,620,475

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.

985 x 180 x 818 x 620 x 475 = 42711747300000

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.

985 : 1, 5, 197, 985

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

818 : 1, 2, 409, 818

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,180,818,620,475, is 1.

Now, the common factors can be found like this.

985:5x 197

180:2x 2x 3x 3x 5

818:2x 409

620:2x 2x 5x 31

475:5x 5x 19

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 2x 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 42711747300000/(1x1000)

LCM = 42711747300000/1000

LCM = 42711747300

Thus, we can understand that the LCM of 985,180,818,620,475 is 42711747300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 180, 818, 620, 475

1. What is the LCM of 985, 180, 818, 620, 475?

Answer: LCM of 985, 180, 818, 620, 475 is 42711747300.

2. How to calculate the LCM of 985, 180, 818, 620, 475?

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 985, 180, 818, 620, 475.

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}.