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LCM of 894, 945, 861, 309, 301

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


Find the LCM of 894, 945, 861, 309, 301 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 894, 945, 861, 309, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,945,861,309,301

Given numbers are 894,945,861,309,301

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

The LCM of 894,945,861,309,301 is 51137278290.

Find LCM of 894,945,861,309,301 with Prime Factorization


3 894, 945, 861, 309, 301
7 298, 315, 287, 103, 301
298, 45, 41, 103, 43

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

3 x 7 x 298 x 45 x 41 x 103 x 43 = 51137278290

Therefore, the lowest common multiple of 894,945,861,309,301 is 51137278290.

LCM Formula to Find Lowest Common Multiple of 894,945,861,309,301

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.

894 x 945 x 861 x 309 x 301 = 67654619177670

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

861 : 1, 3, 7, 21, 41, 123, 287, 861

309 : 1, 3, 103, 309

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,945,861,309,301, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

945:3x 3x 3x 5x 7

861:3x 7x 41

309:3x 103

301:7x 43

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 3x 7x 7 = 1323

Therefore, the value for common factors is 1323.

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 = 67654619177670/(1x1323)

LCM = 67654619177670/1323

LCM = 51137278290

Thus, we can understand that the LCM of 894,945,861,309,301 is 51137278290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 945, 861, 309, 301

1. What is the LCM of 894, 945, 861, 309, 301?

Answer: LCM of 894, 945, 861, 309, 301 is 51137278290.

2. How to calculate the LCM of 894, 945, 861, 309, 301?

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 894, 945, 861, 309, 301.

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}.