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LCM of 958, 345, 949, 584

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


Find the LCM of 958, 345, 949, 584 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, 345, 949, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,345,949,584

Given numbers are 958,345,949,584

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

The LCM of 958,345,949,584 is 1254615960.

Find LCM of 958,345,949,584 with Prime Factorization


2 958, 345, 949, 584
73 479, 345, 949, 292
479, 345, 13, 4

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

2 x 73 x 479 x 345 x 13 x 4 = 1254615960

Therefore, the lowest common multiple of 958,345,949,584 is 1254615960.

LCM Formula to Find Lowest Common Multiple of 958,345,949,584

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 345 x 949 x 584 = 183173930160

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

949 : 1, 13, 73, 949

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,345,949,584, is 1.

Now, the common factors can be found like this.

958:2x 479

345:3x 5x 23

949:13x 73

584:2x 2x 2x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 183173930160/(1x146)

LCM = 183173930160/146

LCM = 1254615960

Thus, we can understand that the LCM of 958,345,949,584 is 1254615960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 345, 949, 584

1. What is the LCM of 958, 345, 949, 584?

Answer: LCM of 958, 345, 949, 584 is 1254615960.

2. How to calculate the LCM of 958, 345, 949, 584?

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, 345, 949, 584.

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}.