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LCM of 553, 183, 174, 871, 610

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


Find the LCM of 553, 183, 174, 871, 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 553, 183, 174, 871, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,183,174,871,610

Given numbers are 553,183,174,871,610

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

The LCM of 553,183,174,871,610 is 25561855410.

Find LCM of 553,183,174,871,610 with Prime Factorization


2 553, 183, 174, 871, 610
3 553, 183, 87, 871, 305
61 553, 61, 29, 871, 305
553, 1, 29, 871, 5

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

2 x 3 x 61 x 553 x 1 x 29 x 871 x 5 = 25561855410

Therefore, the lowest common multiple of 553,183,174,871,610 is 25561855410.

LCM Formula to Find Lowest Common Multiple of 553,183,174,871,610

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.

553 x 183 x 174 x 871 x 610 = 9355639080060

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.

553 : 1, 7, 79, 553

183 : 1, 3, 61, 183

174 : 1, 2, 3, 6, 29, 58, 87, 174

871 : 1, 13, 67, 871

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 553,183,174,871,610, is 1.

Now, the common factors can be found like this.

553:7x 79

183:3x 61

174:2x 3x 29

871:13x 67

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 61 = 366

Therefore, the value for common factors is 366.

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 = 9355639080060/(1x366)

LCM = 9355639080060/366

LCM = 25561855410

Thus, we can understand that the LCM of 553,183,174,871,610 is 25561855410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 183, 174, 871, 610

1. What is the LCM of 553, 183, 174, 871, 610?

Answer: LCM of 553, 183, 174, 871, 610 is 25561855410.

2. How to calculate the LCM of 553, 183, 174, 871, 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 553, 183, 174, 871, 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}.