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LCM of 958, 427, 366

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


Find the LCM of 958, 427, 366 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, 427, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,427,366

Given numbers are 958,427,366

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

The LCM of 958,427,366 is 1227198.

Find LCM of 958,427,366 with Prime Factorization


2 958, 427, 366
61 479, 427, 183
479, 7, 3

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

2 x 61 x 479 x 7 x 3 = 1227198

Therefore, the lowest common multiple of 958,427,366 is 1227198.

LCM Formula to Find Lowest Common Multiple of 958,427,366

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 427 x 366 = 149718156

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

427 : 1, 7, 61, 427

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,427,366, is 1.

Now, the common factors can be found like this.

958:2x 479

427:7x 61

366:2x 3x 61

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 149718156/(1x122)

LCM = 149718156/122

LCM = 1227198

Thus, we can understand that the LCM of 958,427,366 is 1227198.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 958, 427, 366

1. What is the LCM of 958, 427, 366?

Answer: LCM of 958, 427, 366 is 1227198.

2. How to calculate the LCM of 958, 427, 366?

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, 427, 366.

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}.