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LCM of 607, 754, 201, 221, 226

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


Find the LCM of 607, 754, 201, 221, 226 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 607, 754, 201, 221, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,754,201,221,226

Given numbers are 607,754,201,221,226

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

The LCM of 607,754,201,221,226 is 176719087038.

Find LCM of 607,754,201,221,226 with Prime Factorization


2 607, 754, 201, 221, 226
13 607, 377, 201, 221, 113
607, 29, 201, 17, 113

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

2 x 13 x 607 x 29 x 201 x 17 x 113 = 176719087038

Therefore, the lowest common multiple of 607,754,201,221,226 is 176719087038.

LCM Formula to Find Lowest Common Multiple of 607,754,201,221,226

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.

607 x 754 x 201 x 221 x 226 = 4594696262988

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.

607 : 1, 607

754 : 1, 2, 13, 26, 29, 58, 377, 754

201 : 1, 3, 67, 201

221 : 1, 13, 17, 221

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,754,201,221,226, is 1.

Now, the common factors can be found like this.

607:607

754:2x 13x 29

201:3x 67

221:13x 17

226:2x 113

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 4594696262988/(1x26)

LCM = 4594696262988/26

LCM = 176719087038

Thus, we can understand that the LCM of 607,754,201,221,226 is 176719087038.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 754, 201, 221, 226

1. What is the LCM of 607, 754, 201, 221, 226?

Answer: LCM of 607, 754, 201, 221, 226 is 176719087038.

2. How to calculate the LCM of 607, 754, 201, 221, 226?

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 607, 754, 201, 221, 226.

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}.