LCM of 445, 341, 612, 464, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 341, 612, 464, 279 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 445, 341, 612, 464, 279. So, keep reading to learn more.
Given numbers are 445,341,612,464,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,341,612,464,279 is 10772681040.
Find LCM of 445,341,612,464,279 with Prime Factorization
| 2 | 445, 341, 612, 464, 279 |
| 2 | 445, 341, 306, 232, 279 |
| 3 | 445, 341, 153, 116, 279 |
| 3 | 445, 341, 51, 116, 93 |
| 31 | 445, 341, 17, 116, 31 |
| 445, 11, 17, 116, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 445 x 11 x 17 x 116 x 1 = 10772681040
Therefore, the lowest common multiple of 445,341,612,464,279 is 10772681040.
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.
445 x 341 x 612 x 464 x 279 = 12022312040640
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.
445 : 1, 5, 89, 445
341 : 1, 11, 31, 341
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,341,612,464,279, is 1.
Now, the common factors can be found like this.
445:5x 89
341:11x 31
612:2x 2x 3x 3x 17
464:2x 2x 2x 2x 29
279:3x 3x 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 2x 3x 3x 31 = 1116
Therefore, the value for common factors is 1116.
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 = 12022312040640/(1x1116)
LCM = 12022312040640/1116
LCM = 10772681040
Thus, we can understand that the LCM of 445,341,612,464,279 is 10772681040.
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FAQs on LCM of 445, 341, 612, 464, 279
1. What is the LCM of 445, 341, 612, 464, 279?
Answer: LCM of 445, 341, 612, 464, 279 is 10772681040.
2. How to calculate the LCM of 445, 341, 612, 464, 279?
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 445, 341, 612, 464, 279.
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}.