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LCM of 881, 152, 304, 576

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


Find the LCM of 881, 152, 304, 576 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 881, 152, 304, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,152,304,576

Given numbers are 881,152,304,576

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

The LCM of 881,152,304,576 is 9641664.

Find LCM of 881,152,304,576 with Prime Factorization


2 881, 152, 304, 576
2 881, 76, 152, 288
2 881, 38, 76, 144
2 881, 19, 38, 72
19 881, 19, 19, 36
881, 1, 1, 36

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

2 x 2 x 2 x 2 x 19 x 881 x 1 x 1 x 36 = 9641664

Therefore, the lowest common multiple of 881,152,304,576 is 9641664.

LCM Formula to Find Lowest Common Multiple of 881,152,304,576

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.

881 x 152 x 304 x 576 = 23448526848

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.

881 : 1, 881

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

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,152,304,576, is 1.

Now, the common factors can be found like this.

881:881

152:2x 2x 2x 19

304:2x 2x 2x 2x 19

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

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 2x 19 = 2432

Therefore, the value for common factors is 2432.

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 = 23448526848/(1x2432)

LCM = 23448526848/2432

LCM = 9641664

Thus, we can understand that the LCM of 881,152,304,576 is 9641664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 152, 304, 576

1. What is the LCM of 881, 152, 304, 576?

Answer: LCM of 881, 152, 304, 576 is 9641664.

2. How to calculate the LCM of 881, 152, 304, 576?

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 881, 152, 304, 576.

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}.