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LCM of 721, 501, 818, 993, 167

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


Find the LCM of 721, 501, 818, 993, 167 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 721, 501, 818, 993, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,501,818,993,167

Given numbers are 721,501,818,993,167

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

The LCM of 721,501,818,993,167 is 97803475518.

Find LCM of 721,501,818,993,167 with Prime Factorization


3 721, 501, 818, 993, 167
167 721, 167, 818, 331, 167
721, 1, 818, 331, 1

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

3 x 167 x 721 x 1 x 818 x 331 x 1 = 97803475518

Therefore, the lowest common multiple of 721,501,818,993,167 is 97803475518.

LCM Formula to Find Lowest Common Multiple of 721,501,818,993,167

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.

721 x 501 x 818 x 993 x 167 = 48999541234518

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.

721 : 1, 7, 103, 721

501 : 1, 3, 167, 501

818 : 1, 2, 409, 818

993 : 1, 3, 331, 993

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,501,818,993,167, is 1.

Now, the common factors can be found like this.

721:7x 103

501:3x 167

818:2x 409

993:3x 331

167:167

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

3x 167 = 501

Therefore, the value for common factors is 501.

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 = 48999541234518/(1x501)

LCM = 48999541234518/501

LCM = 97803475518

Thus, we can understand that the LCM of 721,501,818,993,167 is 97803475518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 501, 818, 993, 167

1. What is the LCM of 721, 501, 818, 993, 167?

Answer: LCM of 721, 501, 818, 993, 167 is 97803475518.

2. How to calculate the LCM of 721, 501, 818, 993, 167?

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 721, 501, 818, 993, 167.

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}.