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LCM of 253, 473, 741, 390

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


Find the LCM of 253, 473, 741, 390 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, 473, 741, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,473,741,390

Given numbers are 253,473,741,390

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

The LCM of 253,473,741,390 is 80613390.

Find LCM of 253,473,741,390 with Prime Factorization


3 253, 473, 741, 390
11 253, 473, 247, 130
13 23, 43, 247, 130
23, 43, 19, 10

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

3 x 11 x 13 x 23 x 43 x 19 x 10 = 80613390

Therefore, the lowest common multiple of 253,473,741,390 is 80613390.

LCM Formula to Find Lowest Common Multiple of 253,473,741,390

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 473 x 741 x 390 = 34583144310

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

473 : 1, 11, 43, 473

741 : 1, 3, 13, 19, 39, 57, 247, 741

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,473,741,390, is 1.

Now, the common factors can be found like this.

253:11x 23

473:11x 43

741:3x 13x 19

390:2x 3x 5x 13

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

3x 11x 13 = 429

Therefore, the value for common factors is 429.

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 = 34583144310/(1x429)

LCM = 34583144310/429

LCM = 80613390

Thus, we can understand that the LCM of 253,473,741,390 is 80613390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 473, 741, 390

1. What is the LCM of 253, 473, 741, 390?

Answer: LCM of 253, 473, 741, 390 is 80613390.

2. How to calculate the LCM of 253, 473, 741, 390?

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, 473, 741, 390.

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}.