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LCM of 473, 517, 367

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


Find the LCM of 473, 517, 367 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, 517, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,517,367

Given numbers are 473,517,367

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

The LCM of 473,517,367 is 8158777.

Find LCM of 473,517,367 with Prime Factorization


11 473, 517, 367
43, 47, 367

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

11 x 43 x 47 x 367 = 8158777

Therefore, the lowest common multiple of 473,517,367 is 8158777.

LCM Formula to Find Lowest Common Multiple of 473,517,367

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 517 x 367 = 89746547

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

517 : 1, 11, 47, 517

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,517,367, is 1.

Now, the common factors can be found like this.

473:11x 43

517:11x 47

367:367

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 = 89746547/(1x11)

LCM = 89746547/11

LCM = 8158777

Thus, we can understand that the LCM of 473,517,367 is 8158777.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 473, 517, 367

1. What is the LCM of 473, 517, 367?

Answer: LCM of 473, 517, 367 is 8158777.

2. How to calculate the LCM of 473, 517, 367?

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, 517, 367.

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}.