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LCM of 467, 995, 995, 820, 729

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


Find the LCM of 467, 995, 995, 820, 729 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 467, 995, 995, 820, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,995,995,820,729

Given numbers are 467,995,995,820,729

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

The LCM of 467,995,995,820,729 is 55553488740.

Find LCM of 467,995,995,820,729 with Prime Factorization


5 467, 995, 995, 820, 729
199 467, 199, 199, 164, 729
467, 1, 1, 164, 729

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

5 x 199 x 467 x 1 x 1 x 164 x 729 = 55553488740

Therefore, the lowest common multiple of 467,995,995,820,729 is 55553488740.

LCM Formula to Find Lowest Common Multiple of 467,995,995,820,729

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.

467 x 995 x 995 x 820 x 729 = 276378606481500

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.

467 : 1, 467

995 : 1, 5, 199, 995

995 : 1, 5, 199, 995

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,995,995,820,729, is 1.

Now, the common factors can be found like this.

467:467

995:5x 199

995:5x 199

820:2x 2x 5x 41

729:3x 3x 3x 3x 3x 3

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 199 = 4975

Therefore, the value for common factors is 4975.

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 = 276378606481500/(1x4975)

LCM = 276378606481500/4975

LCM = 55553488740

Thus, we can understand that the LCM of 467,995,995,820,729 is 55553488740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 995, 995, 820, 729

1. What is the LCM of 467, 995, 995, 820, 729?

Answer: LCM of 467, 995, 995, 820, 729 is 55553488740.

2. How to calculate the LCM of 467, 995, 995, 820, 729?

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 467, 995, 995, 820, 729.

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}.