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LCM of 459, 594, 510, 991

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


Find the LCM of 459, 594, 510, 991 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 459, 594, 510, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,594,510,991

Given numbers are 459,594,510,991

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

The LCM of 459,594,510,991 is 50035590.

Find LCM of 459,594,510,991 with Prime Factorization


2 459, 594, 510, 991
3 459, 297, 255, 991
3 153, 99, 85, 991
3 51, 33, 85, 991
17 17, 11, 85, 991
1, 11, 5, 991

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

2 x 3 x 3 x 3 x 17 x 1 x 11 x 5 x 991 = 50035590

Therefore, the lowest common multiple of 459,594,510,991 is 50035590.

LCM Formula to Find Lowest Common Multiple of 459,594,510,991

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.

459 x 594 x 510 x 991 = 137798014860

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.

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,594,510,991, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

594:2x 3x 3x 3x 11

510:2x 3x 5x 17

991:991

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

2x 3x 3x 3x 3x 17 = 2754

Therefore, the value for common factors is 2754.

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 = 137798014860/(1x2754)

LCM = 137798014860/2754

LCM = 50035590

Thus, we can understand that the LCM of 459,594,510,991 is 50035590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 594, 510, 991

1. What is the LCM of 459, 594, 510, 991?

Answer: LCM of 459, 594, 510, 991 is 50035590.

2. How to calculate the LCM of 459, 594, 510, 991?

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 459, 594, 510, 991.

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}.