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LCM of 304, 936, 824, 113

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


Find the LCM of 304, 936, 824, 113 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 304, 936, 824, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,936,824,113

Given numbers are 304,936,824,113

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

The LCM of 304,936,824,113 is 413975952.

Find LCM of 304,936,824,113 with Prime Factorization


2 304, 936, 824, 113
2 152, 468, 412, 113
2 76, 234, 206, 113
38, 117, 103, 113

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

2 x 2 x 2 x 38 x 117 x 103 x 113 = 413975952

Therefore, the lowest common multiple of 304,936,824,113 is 413975952.

LCM Formula to Find Lowest Common Multiple of 304,936,824,113

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.

304 x 936 x 824 x 113 = 26494460928

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

824 : 1, 2, 4, 8, 103, 206, 412, 824

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,936,824,113, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

936:2x 2x 2x 3x 3x 13

824:2x 2x 2x 103

113:113

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

2x 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 26494460928/(1x64)

LCM = 26494460928/64

LCM = 413975952

Thus, we can understand that the LCM of 304,936,824,113 is 413975952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 936, 824, 113

1. What is the LCM of 304, 936, 824, 113?

Answer: LCM of 304, 936, 824, 113 is 413975952.

2. How to calculate the LCM of 304, 936, 824, 113?

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 304, 936, 824, 113.

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}.