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LCM of 473, 459, 352

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


Find the LCM of 473, 459, 352 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, 459, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,459,352

Given numbers are 473,459,352

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

The LCM of 473,459,352 is 6947424.

Find LCM of 473,459,352 with Prime Factorization


11 473, 459, 352
43, 459, 32

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

11 x 43 x 459 x 32 = 6947424

Therefore, the lowest common multiple of 473,459,352 is 6947424.

LCM Formula to Find Lowest Common Multiple of 473,459,352

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 459 x 352 = 76421664

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,459,352, is 1.

Now, the common factors can be found like this.

473:11x 43

459:3x 3x 3x 17

352:2x 2x 2x 2x 2x 11

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 = 76421664/(1x11)

LCM = 76421664/11

LCM = 6947424

Thus, we can understand that the LCM of 473,459,352 is 6947424.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 473, 459, 352

1. What is the LCM of 473, 459, 352?

Answer: LCM of 473, 459, 352 is 6947424.

2. How to calculate the LCM of 473, 459, 352?

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, 459, 352.

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}.