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LCM of 928, 841, 270, 747

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


Find the LCM of 928, 841, 270, 747 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 928, 841, 270, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,841,270,747

Given numbers are 928,841,270,747

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

The LCM of 928,841,270,747 is 301548960.

Find LCM of 928,841,270,747 with Prime Factorization


2 928, 841, 270, 747
3 464, 841, 135, 747
3 464, 841, 45, 249
29 464, 841, 15, 83
16, 29, 15, 83

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

2 x 3 x 3 x 29 x 16 x 29 x 15 x 83 = 301548960

Therefore, the lowest common multiple of 928,841,270,747 is 301548960.

LCM Formula to Find Lowest Common Multiple of 928,841,270,747

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.

928 x 841 x 270 x 747 = 157408557120

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

841 : 1, 29, 841

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,841,270,747, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

841:29x 29

270:2x 3x 3x 3x 5

747:3x 3x 83

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 3x 29 = 522

Therefore, the value for common factors is 522.

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 = 157408557120/(1x522)

LCM = 157408557120/522

LCM = 301548960

Thus, we can understand that the LCM of 928,841,270,747 is 301548960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 841, 270, 747

1. What is the LCM of 928, 841, 270, 747?

Answer: LCM of 928, 841, 270, 747 is 301548960.

2. How to calculate the LCM of 928, 841, 270, 747?

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 928, 841, 270, 747.

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}.