LCM of 844, 705, 404, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 705, 404, 618 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 844, 705, 404, 618. So, keep reading to learn more.
Given numbers are 844,705,404,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,705,404,618 is 6189993060.
Find LCM of 844,705,404,618 with Prime Factorization
| 2 | 844, 705, 404, 618 |
| 2 | 422, 705, 202, 309 |
| 3 | 211, 705, 101, 309 |
| 211, 235, 101, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 235 x 101 x 103 = 6189993060
Therefore, the lowest common multiple of 844,705,404,618 is 6189993060.
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.
844 x 705 x 404 x 618 = 148559833440
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.
844 : 1, 2, 4, 211, 422, 844
705 : 1, 3, 5, 15, 47, 141, 235, 705
404 : 1, 2, 4, 101, 202, 404
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,705,404,618, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
705:3x 5x 47
404:2x 2x 101
618:2x 3x 103
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 3 = 24
Therefore, the value for common factors is 24.
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 = 148559833440/(1x24)
LCM = 148559833440/24
LCM = 6189993060
Thus, we can understand that the LCM of 844,705,404,618 is 6189993060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 705, 404, 618
1. What is the LCM of 844, 705, 404, 618?
Answer: LCM of 844, 705, 404, 618 is 6189993060.
2. How to calculate the LCM of 844, 705, 404, 618?
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 844, 705, 404, 618.
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}.