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LCM of 141, 229, 345, 129

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


Find the LCM of 141, 229, 345, 129 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 141, 229, 345, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,229,345,129

Given numbers are 141,229,345,129

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

The LCM of 141,229,345,129 is 159669105.

Find LCM of 141,229,345,129 with Prime Factorization


3 141, 229, 345, 129
47, 229, 115, 43

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

3 x 47 x 229 x 115 x 43 = 159669105

Therefore, the lowest common multiple of 141,229,345,129 is 159669105.

LCM Formula to Find Lowest Common Multiple of 141,229,345,129

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.

141 x 229 x 345 x 129 = 1437021945

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.

141 : 1, 3, 47, 141

229 : 1, 229

345 : 1, 3, 5, 15, 23, 69, 115, 345

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,229,345,129, is 1.

Now, the common factors can be found like this.

141:3x 47

229:229

345:3x 5x 23

129:3x 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 3 = 9

Therefore, the value for common factors is 9.

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 = 1437021945/(1x9)

LCM = 1437021945/9

LCM = 159669105

Thus, we can understand that the LCM of 141,229,345,129 is 159669105.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 229, 345, 129

1. What is the LCM of 141, 229, 345, 129?

Answer: LCM of 141, 229, 345, 129 is 159669105.

2. How to calculate the LCM of 141, 229, 345, 129?

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 141, 229, 345, 129.

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}.