LCM of 849, 421, 955, 720, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 421, 955, 720, 583 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 849, 421, 955, 720, 583. So, keep reading to learn more.
Given numbers are 849,421,955,720,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,421,955,720,583 is 9552189944880.
Find LCM of 849,421,955,720,583 with Prime Factorization
| 3 | 849, 421, 955, 720, 583 |
| 5 | 283, 421, 955, 240, 583 |
| 283, 421, 191, 48, 583 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 283 x 421 x 191 x 48 x 583 = 9552189944880
Therefore, the lowest common multiple of 849,421,955,720,583 is 9552189944880.
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.
849 x 421 x 955 x 720 x 583 = 143282849173200
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.
849 : 1, 3, 283, 849
421 : 1, 421
955 : 1, 5, 191, 955
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,421,955,720,583, is 1.
Now, the common factors can be found like this.
849:3x 283
421:421
955:5x 191
720:2x 2x 2x 2x 3x 3x 5
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 143282849173200/(1x15)
LCM = 143282849173200/15
LCM = 9552189944880
Thus, we can understand that the LCM of 849,421,955,720,583 is 9552189944880.
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FAQs on LCM of 849, 421, 955, 720, 583
1. What is the LCM of 849, 421, 955, 720, 583?
Answer: LCM of 849, 421, 955, 720, 583 is 9552189944880.
2. How to calculate the LCM of 849, 421, 955, 720, 583?
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 849, 421, 955, 720, 583.
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}.