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LCM of 253, 590, 367, 362, 778

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


Find the LCM of 253, 590, 367, 362, 778 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, 590, 367, 362, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,590,367,362,778

Given numbers are 253,590,367,362,778

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

The LCM of 253,590,367,362,778 is 3857152174810.

Find LCM of 253,590,367,362,778 with Prime Factorization


2 253, 590, 367, 362, 778
253, 295, 367, 181, 389

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

2 x 253 x 295 x 367 x 181 x 389 = 3857152174810

Therefore, the lowest common multiple of 253,590,367,362,778 is 3857152174810.

LCM Formula to Find Lowest Common Multiple of 253,590,367,362,778

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 590 x 367 x 362 x 778 = 15428608699240

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

367 : 1, 367

362 : 1, 2, 181, 362

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,590,367,362,778, is 1.

Now, the common factors can be found like this.

253:11x 23

590:2x 5x 59

367:367

362:2x 181

778:2x 389

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15428608699240/(1x4)

LCM = 15428608699240/4

LCM = 3857152174810

Thus, we can understand that the LCM of 253,590,367,362,778 is 3857152174810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 590, 367, 362, 778

1. What is the LCM of 253, 590, 367, 362, 778?

Answer: LCM of 253, 590, 367, 362, 778 is 3857152174810.

2. How to calculate the LCM of 253, 590, 367, 362, 778?

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, 590, 367, 362, 778.

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}.