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LCM of 228, 307, 516, 948

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


Find the LCM of 228, 307, 516, 948 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 228, 307, 516, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 228,307,516,948

Given numbers are 228,307,516,948

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

The LCM of 228,307,516,948 is 237776412.

Find LCM of 228,307,516,948 with Prime Factorization


2 228, 307, 516, 948
2 114, 307, 258, 474
3 57, 307, 129, 237
19, 307, 43, 79

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

2 x 2 x 3 x 19 x 307 x 43 x 79 = 237776412

Therefore, the lowest common multiple of 228,307,516,948 is 237776412.

LCM Formula to Find Lowest Common Multiple of 228,307,516,948

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.

228 x 307 x 516 x 948 = 34239803328

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

307 : 1, 307

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,307,516,948, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

307:307

516:2x 2x 3x 43

948:2x 2x 3x 79

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 34239803328/(1x144)

LCM = 34239803328/144

LCM = 237776412

Thus, we can understand that the LCM of 228,307,516,948 is 237776412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 228, 307, 516, 948

1. What is the LCM of 228, 307, 516, 948?

Answer: LCM of 228, 307, 516, 948 is 237776412.

2. How to calculate the LCM of 228, 307, 516, 948?

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 228, 307, 516, 948.

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}.