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LCM of 958, 684, 459, 822

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


Find the LCM of 958, 684, 459, 822 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 958, 684, 459, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,684,459,822

Given numbers are 958,684,459,822

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

The LCM of 958,684,459,822 is 2289192732.

Find LCM of 958,684,459,822 with Prime Factorization


2 958, 684, 459, 822
3 479, 342, 459, 411
3 479, 114, 153, 137
479, 38, 51, 137

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

2 x 3 x 3 x 479 x 38 x 51 x 137 = 2289192732

Therefore, the lowest common multiple of 958,684,459,822 is 2289192732.

LCM Formula to Find Lowest Common Multiple of 958,684,459,822

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.

958 x 684 x 459 x 822 = 247232815056

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.

958 : 1, 2, 479, 958

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,684,459,822, is 1.

Now, the common factors can be found like this.

958:2x 479

684:2x 2x 3x 3x 19

459:3x 3x 3x 17

822:2x 3x 137

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 247232815056/(1x108)

LCM = 247232815056/108

LCM = 2289192732

Thus, we can understand that the LCM of 958,684,459,822 is 2289192732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 684, 459, 822

1. What is the LCM of 958, 684, 459, 822?

Answer: LCM of 958, 684, 459, 822 is 2289192732.

2. How to calculate the LCM of 958, 684, 459, 822?

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 958, 684, 459, 822.

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}.