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LCM of 187, 141, 423, 729, 752

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


Find the LCM of 187, 141, 423, 729, 752 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 187, 141, 423, 729, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,141,423,729,752

Given numbers are 187,141,423,729,752

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

The LCM of 187,141,423,729,752 is 102514896.

Find LCM of 187,141,423,729,752 with Prime Factorization


3 187, 141, 423, 729, 752
3 187, 47, 141, 243, 752
47 187, 47, 47, 81, 752
187, 1, 1, 81, 16

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

3 x 3 x 47 x 187 x 1 x 1 x 81 x 16 = 102514896

Therefore, the lowest common multiple of 187,141,423,729,752 is 102514896.

LCM Formula to Find Lowest Common Multiple of 187,141,423,729,752

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.

187 x 141 x 423 x 729 x 752 = 6114295942128

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.

187 : 1, 11, 17, 187

141 : 1, 3, 47, 141

423 : 1, 3, 9, 47, 141, 423

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,141,423,729,752, is 1.

Now, the common factors can be found like this.

187:11x 17

141:3x 47

423:3x 3x 47

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

752:2x 2x 2x 2x 47

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

3x 3x 3x 47x 47 = 59643

Therefore, the value for common factors is 59643.

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 = 6114295942128/(1x59643)

LCM = 6114295942128/59643

LCM = 102514896

Thus, we can understand that the LCM of 187,141,423,729,752 is 102514896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 141, 423, 729, 752

1. What is the LCM of 187, 141, 423, 729, 752?

Answer: LCM of 187, 141, 423, 729, 752 is 102514896.

2. How to calculate the LCM of 187, 141, 423, 729, 752?

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 187, 141, 423, 729, 752.

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}.