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LCM of 915, 969, 357, 981

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


Find the LCM of 915, 969, 357, 981 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, 969, 357, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,969,357,981

Given numbers are 915,969,357,981

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

The LCM of 915,969,357,981 is 676502505.

Find LCM of 915,969,357,981 with Prime Factorization


3 915, 969, 357, 981
17 305, 323, 119, 327
305, 19, 7, 327

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

3 x 17 x 305 x 19 x 7 x 327 = 676502505

Therefore, the lowest common multiple of 915,969,357,981 is 676502505.

LCM Formula to Find Lowest Common Multiple of 915,969,357,981

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 969 x 357 x 981 = 310514649795

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

357 : 1, 3, 7, 17, 21, 51, 119, 357

981 : 1, 3, 9, 109, 327, 981

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,969,357,981, is 3.

Now, the common factors can be found like this.

915:3x 5x 61

969:3x 17x 19

357:3x 7x 17

981:3x 3x 109

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 310514649795/(3x153)

LCM = 310514649795/459

LCM = 676502505

Thus, we can understand that the LCM of 915,969,357,981 is 676502505.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 969, 357, 981

1. What is the LCM of 915, 969, 357, 981?

Answer: LCM of 915, 969, 357, 981 is 676502505.

2. How to calculate the LCM of 915, 969, 357, 981?

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, 969, 357, 981.

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}.