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LCM of 473, 361, 811, 407, 547

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


Find the LCM of 473, 361, 811, 407, 547 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 473, 361, 811, 407, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,361,811,407,547

Given numbers are 473,361,811,407,547

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

The LCM of 473,361,811,407,547 is 2802710543237.

Find LCM of 473,361,811,407,547 with Prime Factorization


11 473, 361, 811, 407, 547
43, 361, 811, 37, 547

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

11 x 43 x 361 x 811 x 37 x 547 = 2802710543237

Therefore, the lowest common multiple of 473,361,811,407,547 is 2802710543237.

LCM Formula to Find Lowest Common Multiple of 473,361,811,407,547

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.

473 x 361 x 811 x 407 x 547 = 30829815975607

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.

473 : 1, 11, 43, 473

361 : 1, 19, 361

811 : 1, 811

407 : 1, 11, 37, 407

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,361,811,407,547, is 1.

Now, the common factors can be found like this.

473:11x 43

361:19x 19

811:811

407:11x 37

547:547

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 = 30829815975607/(1x11)

LCM = 30829815975607/11

LCM = 2802710543237

Thus, we can understand that the LCM of 473,361,811,407,547 is 2802710543237.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 361, 811, 407, 547

1. What is the LCM of 473, 361, 811, 407, 547?

Answer: LCM of 473, 361, 811, 407, 547 is 2802710543237.

2. How to calculate the LCM of 473, 361, 811, 407, 547?

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 473, 361, 811, 407, 547.

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}.