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LCM of 881, 287, 119, 369

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


Find the LCM of 881, 287, 119, 369 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, 287, 119, 369. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,287,119,369

Given numbers are 881,287,119,369

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

The LCM of 881,287,119,369 is 38685591.

Find LCM of 881,287,119,369 with Prime Factorization


7 881, 287, 119, 369
41 881, 41, 17, 369
881, 1, 17, 9

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

7 x 41 x 881 x 1 x 17 x 9 = 38685591

Therefore, the lowest common multiple of 881,287,119,369 is 38685591.

LCM Formula to Find Lowest Common Multiple of 881,287,119,369

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 287 x 119 x 369 = 11102764617

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

287 : 1, 7, 41, 287

119 : 1, 7, 17, 119

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,287,119,369, is 1.

Now, the common factors can be found like this.

881:881

287:7x 41

119:7x 17

369:3x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 41 = 287

Therefore, the value for common factors is 287.

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 = 11102764617/(1x287)

LCM = 11102764617/287

LCM = 38685591

Thus, we can understand that the LCM of 881,287,119,369 is 38685591.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 287, 119, 369

1. What is the LCM of 881, 287, 119, 369?

Answer: LCM of 881, 287, 119, 369 is 38685591.

2. How to calculate the LCM of 881, 287, 119, 369?

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, 287, 119, 369.

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}.