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LCM of 253, 201, 781, 509

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


Find the LCM of 253, 201, 781, 509 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 253, 201, 781, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,201,781,509

Given numbers are 253,201,781,509

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

The LCM of 253,201,781,509 is 1837776567.

Find LCM of 253,201,781,509 with Prime Factorization


11 253, 201, 781, 509
23, 201, 71, 509

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

11 x 23 x 201 x 71 x 509 = 1837776567

Therefore, the lowest common multiple of 253,201,781,509 is 1837776567.

LCM Formula to Find Lowest Common Multiple of 253,201,781,509

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.

253 x 201 x 781 x 509 = 20215542237

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.

253 : 1, 11, 23, 253

201 : 1, 3, 67, 201

781 : 1, 11, 71, 781

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,201,781,509, is 1.

Now, the common factors can be found like this.

253:11x 23

201:3x 67

781:11x 71

509:509

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

11 = 11

Therefore, the value for common factors is 11.

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 = 20215542237/(1x11)

LCM = 20215542237/11

LCM = 1837776567

Thus, we can understand that the LCM of 253,201,781,509 is 1837776567.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 201, 781, 509

1. What is the LCM of 253, 201, 781, 509?

Answer: LCM of 253, 201, 781, 509 is 1837776567.

2. How to calculate the LCM of 253, 201, 781, 509?

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 253, 201, 781, 509.

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}.