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LCM of 234, 543, 299, 610

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


Find the LCM of 234, 543, 299, 610 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 234, 543, 299, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,543,299,610

Given numbers are 234,543,299,610

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

The LCM of 234,543,299,610 is 297113310.

Find LCM of 234,543,299,610 with Prime Factorization


2 234, 543, 299, 610
3 117, 543, 299, 305
13 39, 181, 299, 305
3, 181, 23, 305

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

2 x 3 x 13 x 3 x 181 x 23 x 305 = 297113310

Therefore, the lowest common multiple of 234,543,299,610 is 297113310.

LCM Formula to Find Lowest Common Multiple of 234,543,299,610

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.

234 x 543 x 299 x 610 = 23174838180

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

543 : 1, 3, 181, 543

299 : 1, 13, 23, 299

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,543,299,610, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

543:3x 181

299:13x 23

610:2x 5x 61

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 23174838180/(1x78)

LCM = 23174838180/78

LCM = 297113310

Thus, we can understand that the LCM of 234,543,299,610 is 297113310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 543, 299, 610

1. What is the LCM of 234, 543, 299, 610?

Answer: LCM of 234, 543, 299, 610 is 297113310.

2. How to calculate the LCM of 234, 543, 299, 610?

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 234, 543, 299, 610.

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}.