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LCM of 915, 988, 955, 795, 458

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


Find the LCM of 915, 988, 955, 795, 458 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 915, 988, 955, 795, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,988,955,795,458

Given numbers are 915,988,955,795,458

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

The LCM of 915,988,955,795,458 is 2095669331340.

Find LCM of 915,988,955,795,458 with Prime Factorization


2 915, 988, 955, 795, 458
3 915, 494, 955, 795, 229
5 305, 494, 955, 265, 229
61, 494, 191, 53, 229

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

2 x 3 x 5 x 61 x 494 x 191 x 53 x 229 = 2095669331340

Therefore, the lowest common multiple of 915,988,955,795,458 is 2095669331340.

LCM Formula to Find Lowest Common Multiple of 915,988,955,795,458

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.

915 x 988 x 955 x 795 x 458 = 314350399701000

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.

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

955 : 1, 5, 191, 955

795 : 1, 3, 5, 15, 53, 159, 265, 795

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,988,955,795,458, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

988:2x 2x 13x 19

955:5x 191

795:3x 5x 53

458:2x 229

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 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 314350399701000/(1x150)

LCM = 314350399701000/150

LCM = 2095669331340

Thus, we can understand that the LCM of 915,988,955,795,458 is 2095669331340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 988, 955, 795, 458

1. What is the LCM of 915, 988, 955, 795, 458?

Answer: LCM of 915, 988, 955, 795, 458 is 2095669331340.

2. How to calculate the LCM of 915, 988, 955, 795, 458?

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 915, 988, 955, 795, 458.

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}.