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LCM of 129, 823, 155, 186, 547

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


Find the LCM of 129, 823, 155, 186, 547 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 129, 823, 155, 186, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,823,155,186,547

Given numbers are 129,823,155,186,547

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

The LCM of 129,823,155,186,547 is 18002738190.

Find LCM of 129,823,155,186,547 with Prime Factorization


3 129, 823, 155, 186, 547
31 43, 823, 155, 62, 547
43, 823, 5, 2, 547

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

3 x 31 x 43 x 823 x 5 x 2 x 547 = 18002738190

Therefore, the lowest common multiple of 129,823,155,186,547 is 18002738190.

LCM Formula to Find Lowest Common Multiple of 129,823,155,186,547

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.

129 x 823 x 155 x 186 x 547 = 1674254651670

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.

129 : 1, 3, 43, 129

823 : 1, 823

155 : 1, 5, 31, 155

186 : 1, 2, 3, 6, 31, 62, 93, 186

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,823,155,186,547, is 1.

Now, the common factors can be found like this.

129:3x 43

823:823

155:5x 31

186:2x 3x 31

547:547

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

3x 31 = 93

Therefore, the value for common factors is 93.

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 = 1674254651670/(1x93)

LCM = 1674254651670/93

LCM = 18002738190

Thus, we can understand that the LCM of 129,823,155,186,547 is 18002738190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 823, 155, 186, 547

1. What is the LCM of 129, 823, 155, 186, 547?

Answer: LCM of 129, 823, 155, 186, 547 is 18002738190.

2. How to calculate the LCM of 129, 823, 155, 186, 547?

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 129, 823, 155, 186, 547.

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}.