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LCM of 805, 297, 473, 961, 600

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


Find the LCM of 805, 297, 473, 961, 600 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 805, 297, 473, 961, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,297,473,961,600

Given numbers are 805,297,473,961,600

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

The LCM of 805,297,473,961,600 is 395188378200.

Find LCM of 805,297,473,961,600 with Prime Factorization


3 805, 297, 473, 961, 600
5 805, 99, 473, 961, 200
11 161, 99, 473, 961, 40
161, 9, 43, 961, 40

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

3 x 5 x 11 x 161 x 9 x 43 x 961 x 40 = 395188378200

Therefore, the lowest common multiple of 805,297,473,961,600 is 395188378200.

LCM Formula to Find Lowest Common Multiple of 805,297,473,961,600

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.

805 x 297 x 473 x 961 x 600 = 65206082403000

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

297 : 1, 3, 9, 11, 27, 33, 99, 297

473 : 1, 11, 43, 473

961 : 1, 31, 961

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,297,473,961,600, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

297:3x 3x 3x 11

473:11x 43

961:31x 31

600:2x 2x 2x 3x 5x 5

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 65206082403000/(1x165)

LCM = 65206082403000/165

LCM = 395188378200

Thus, we can understand that the LCM of 805,297,473,961,600 is 395188378200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 297, 473, 961, 600

1. What is the LCM of 805, 297, 473, 961, 600?

Answer: LCM of 805, 297, 473, 961, 600 is 395188378200.

2. How to calculate the LCM of 805, 297, 473, 961, 600?

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 805, 297, 473, 961, 600.

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}.