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LCM of 881, 871, 440, 924

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


Find the LCM of 881, 871, 440, 924 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, 871, 440, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,871,440,924

Given numbers are 881,871,440,924

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

The LCM of 881,871,440,924 is 7090323240.

Find LCM of 881,871,440,924 with Prime Factorization


2 881, 871, 440, 924
2 881, 871, 220, 462
11 881, 871, 110, 231
881, 871, 10, 21

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

2 x 2 x 11 x 881 x 871 x 10 x 21 = 7090323240

Therefore, the lowest common multiple of 881,871,440,924 is 7090323240.

LCM Formula to Find Lowest Common Multiple of 881,871,440,924

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 871 x 440 x 924 = 311974222560

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

871 : 1, 13, 67, 871

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,871,440,924, is 1.

Now, the common factors can be found like this.

881:881

871:13x 67

440:2x 2x 2x 5x 11

924:2x 2x 3x 7x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 311974222560/(1x44)

LCM = 311974222560/44

LCM = 7090323240

Thus, we can understand that the LCM of 881,871,440,924 is 7090323240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 871, 440, 924

1. What is the LCM of 881, 871, 440, 924?

Answer: LCM of 881, 871, 440, 924 is 7090323240.

2. How to calculate the LCM of 881, 871, 440, 924?

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, 871, 440, 924.

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}.