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LCM of 958, 205, 533, 915

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


Find the LCM of 958, 205, 533, 915 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, 205, 533, 915. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,205,533,915

Given numbers are 958,205,533,915

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

The LCM of 958,205,533,915 is 467211810.

Find LCM of 958,205,533,915 with Prime Factorization


5 958, 205, 533, 915
41 958, 41, 533, 183
958, 1, 13, 183

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

5 x 41 x 958 x 1 x 13 x 183 = 467211810

Therefore, the lowest common multiple of 958,205,533,915 is 467211810.

LCM Formula to Find Lowest Common Multiple of 958,205,533,915

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 205 x 533 x 915 = 95778421050

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

205 : 1, 5, 41, 205

533 : 1, 13, 41, 533

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,205,533,915, is 1.

Now, the common factors can be found like this.

958:2x 479

205:5x 41

533:13x 41

915:3x 5x 61

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

5x 41 = 205

Therefore, the value for common factors is 205.

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 = 95778421050/(1x205)

LCM = 95778421050/205

LCM = 467211810

Thus, we can understand that the LCM of 958,205,533,915 is 467211810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 205, 533, 915

1. What is the LCM of 958, 205, 533, 915?

Answer: LCM of 958, 205, 533, 915 is 467211810.

2. How to calculate the LCM of 958, 205, 533, 915?

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, 205, 533, 915.

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}.