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LCM of 723, 117, 169, 989

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


Find the LCM of 723, 117, 169, 989 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 723, 117, 169, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,117,169,989

Given numbers are 723,117,169,989

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

The LCM of 723,117,169,989 is 362528829.

Find LCM of 723,117,169,989 with Prime Factorization


3 723, 117, 169, 989
13 241, 39, 169, 989
241, 3, 13, 989

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

3 x 13 x 241 x 3 x 13 x 989 = 362528829

Therefore, the lowest common multiple of 723,117,169,989 is 362528829.

LCM Formula to Find Lowest Common Multiple of 723,117,169,989

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.

723 x 117 x 169 x 989 = 14138624331

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.

723 : 1, 3, 241, 723

117 : 1, 3, 9, 13, 39, 117

169 : 1, 13, 169

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,117,169,989, is 1.

Now, the common factors can be found like this.

723:3x 241

117:3x 3x 13

169:13x 13

989:23x 43

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 14138624331/(1x39)

LCM = 14138624331/39

LCM = 362528829

Thus, we can understand that the LCM of 723,117,169,989 is 362528829.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 117, 169, 989

1. What is the LCM of 723, 117, 169, 989?

Answer: LCM of 723, 117, 169, 989 is 362528829.

2. How to calculate the LCM of 723, 117, 169, 989?

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 723, 117, 169, 989.

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}.