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LCM of 102, 713, 989, 184

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


Find the LCM of 102, 713, 989, 184 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 102, 713, 989, 184. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,713,989,184

Given numbers are 102,713,989,184

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

The LCM of 102,713,989,184 is 12508872.

Find LCM of 102,713,989,184 with Prime Factorization


2 102, 713, 989, 184
23 51, 713, 989, 92
51, 31, 43, 4

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

2 x 23 x 51 x 31 x 43 x 4 = 12508872

Therefore, the lowest common multiple of 102,713,989,184 is 12508872.

LCM Formula to Find Lowest Common Multiple of 102,713,989,184

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.

102 x 713 x 989 x 184 = 13234386576

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

713 : 1, 23, 31, 713

989 : 1, 23, 43, 989

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,713,989,184, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

713:23x 31

989:23x 43

184:2x 2x 2x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 13234386576/(1x1058)

LCM = 13234386576/1058

LCM = 12508872

Thus, we can understand that the LCM of 102,713,989,184 is 12508872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 713, 989, 184

1. What is the LCM of 102, 713, 989, 184?

Answer: LCM of 102, 713, 989, 184 is 12508872.

2. How to calculate the LCM of 102, 713, 989, 184?

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 102, 713, 989, 184.

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}.