LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 261, 610, 325, 567, 618

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


Find the LCM of 261, 610, 325, 567, 618 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 261, 610, 325, 567, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,610,325,567,618

Given numbers are 261,610,325,567,618

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

The LCM of 261,610,325,567,618 is 67152389850.

Find LCM of 261,610,325,567,618 with Prime Factorization


2 261, 610, 325, 567, 618
3 261, 305, 325, 567, 309
3 87, 305, 325, 189, 103
5 29, 305, 325, 63, 103
29, 61, 65, 63, 103

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

2 x 3 x 3 x 5 x 29 x 61 x 65 x 63 x 103 = 67152389850

Therefore, the lowest common multiple of 261,610,325,567,618 is 67152389850.

LCM Formula to Find Lowest Common Multiple of 261,610,325,567,618

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.

261 x 610 x 325 x 567 x 618 = 18131145259500

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.

261 : 1, 3, 9, 29, 87, 261

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

325 : 1, 5, 13, 25, 65, 325

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,610,325,567,618, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

610:2x 5x 61

325:5x 5x 13

567:3x 3x 3x 3x 7

618:2x 3x 103

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 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 18131145259500/(1x270)

LCM = 18131145259500/270

LCM = 67152389850

Thus, we can understand that the LCM of 261,610,325,567,618 is 67152389850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 610, 325, 567, 618

1. What is the LCM of 261, 610, 325, 567, 618?

Answer: LCM of 261, 610, 325, 567, 618 is 67152389850.

2. How to calculate the LCM of 261, 610, 325, 567, 618?

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 261, 610, 325, 567, 618.

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}.