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LCM of 300, 187, 945, 526

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


Find the LCM of 300, 187, 945, 526 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 300, 187, 945, 526. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,187,945,526

Given numbers are 300,187,945,526

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

The LCM of 300,187,945,526 is 929520900.

Find LCM of 300,187,945,526 with Prime Factorization


2 300, 187, 945, 526
3 150, 187, 945, 263
5 50, 187, 315, 263
10, 187, 63, 263

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

2 x 3 x 5 x 10 x 187 x 63 x 263 = 929520900

Therefore, the lowest common multiple of 300,187,945,526 is 929520900.

LCM Formula to Find Lowest Common Multiple of 300,187,945,526

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.

300 x 187 x 945 x 526 = 27885627000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

187 : 1, 11, 17, 187

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

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,187,945,526, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

187:11x 17

945:3x 3x 3x 5x 7

526:2x 263

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 5 = 30

Therefore, the value for common factors is 30.

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 = 27885627000/(1x30)

LCM = 27885627000/30

LCM = 929520900

Thus, we can understand that the LCM of 300,187,945,526 is 929520900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 187, 945, 526

1. What is the LCM of 300, 187, 945, 526?

Answer: LCM of 300, 187, 945, 526 is 929520900.

2. How to calculate the LCM of 300, 187, 945, 526?

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 300, 187, 945, 526.

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}.