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LCM of 363, 989, 807, 169, 973

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


Find the LCM of 363, 989, 807, 169, 973 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 363, 989, 807, 169, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,989,807,169,973

Given numbers are 363,989,807,169,973

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

The LCM of 363,989,807,169,973 is 15880155161871.

Find LCM of 363,989,807,169,973 with Prime Factorization


3 363, 989, 807, 169, 973
121, 989, 269, 169, 973

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

3 x 121 x 989 x 269 x 169 x 973 = 15880155161871

Therefore, the lowest common multiple of 363,989,807,169,973 is 15880155161871.

LCM Formula to Find Lowest Common Multiple of 363,989,807,169,973

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.

363 x 989 x 807 x 169 x 973 = 47640465485613

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.

363 : 1, 3, 11, 33, 121, 363

989 : 1, 23, 43, 989

807 : 1, 3, 269, 807

169 : 1, 13, 169

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,989,807,169,973, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

989:23x 43

807:3x 269

169:13x 13

973:7x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 47640465485613/(1x3)

LCM = 47640465485613/3

LCM = 15880155161871

Thus, we can understand that the LCM of 363,989,807,169,973 is 15880155161871.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 989, 807, 169, 973

1. What is the LCM of 363, 989, 807, 169, 973?

Answer: LCM of 363, 989, 807, 169, 973 is 15880155161871.

2. How to calculate the LCM of 363, 989, 807, 169, 973?

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 363, 989, 807, 169, 973.

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}.