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LCM of 957, 704, 576, 177

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


Find the LCM of 957, 704, 576, 177 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 957, 704, 576, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,704,576,177

Given numbers are 957,704,576,177

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

The LCM of 957,704,576,177 is 10840896.

Find LCM of 957,704,576,177 with Prime Factorization


2 957, 704, 576, 177
2 957, 352, 288, 177
2 957, 176, 144, 177
2 957, 88, 72, 177
2 957, 44, 36, 177
2 957, 22, 18, 177
3 957, 11, 9, 177
11 319, 11, 3, 59
29, 1, 3, 59

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 29 x 1 x 3 x 59 = 10840896

Therefore, the lowest common multiple of 957,704,576,177 is 10840896.

LCM Formula to Find Lowest Common Multiple of 957,704,576,177

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.

957 x 704 x 576 x 177 = 68687917056

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,704,576,177, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

704:2x 2x 2x 2x 2x 2x 11

576:2x 2x 2x 2x 2x 2x 3x 3

177:3x 59

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 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 68687917056/(1x6336)

LCM = 68687917056/6336

LCM = 10840896

Thus, we can understand that the LCM of 957,704,576,177 is 10840896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 704, 576, 177

1. What is the LCM of 957, 704, 576, 177?

Answer: LCM of 957, 704, 576, 177 is 10840896.

2. How to calculate the LCM of 957, 704, 576, 177?

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 957, 704, 576, 177.

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}.