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LCM of 890, 741, 992, 341

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


Find the LCM of 890, 741, 992, 341 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 890, 741, 992, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,741,992,341

Given numbers are 890,741,992,341

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

The LCM of 890,741,992,341 is 3598177440.

Find LCM of 890,741,992,341 with Prime Factorization


2 890, 741, 992, 341
31 445, 741, 496, 341
445, 741, 16, 11

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

2 x 31 x 445 x 741 x 16 x 11 = 3598177440

Therefore, the lowest common multiple of 890,741,992,341 is 3598177440.

LCM Formula to Find Lowest Common Multiple of 890,741,992,341

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.

890 x 741 x 992 x 341 = 223087001280

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

741 : 1, 3, 13, 19, 39, 57, 247, 741

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,741,992,341, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

741:3x 13x 19

992:2x 2x 2x 2x 2x 31

341:11x 31

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 223087001280/(1x62)

LCM = 223087001280/62

LCM = 3598177440

Thus, we can understand that the LCM of 890,741,992,341 is 3598177440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 741, 992, 341

1. What is the LCM of 890, 741, 992, 341?

Answer: LCM of 890, 741, 992, 341 is 3598177440.

2. How to calculate the LCM of 890, 741, 992, 341?

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 890, 741, 992, 341.

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}.