LCM of 282, 963, 721, 341, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 963, 721, 341, 646 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 282, 963, 721, 341, 646. So, keep reading to learn more.
Given numbers are 282,963,721,341,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,963,721,341,646 is 7188632909766.
Find LCM of 282,963,721,341,646 with Prime Factorization
| 2 | 282, 963, 721, 341, 646 |
| 3 | 141, 963, 721, 341, 323 |
| 47, 321, 721, 341, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 321 x 721 x 341 x 323 = 7188632909766
Therefore, the lowest common multiple of 282,963,721,341,646 is 7188632909766.
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.
282 x 963 x 721 x 341 x 646 = 43131797458596
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
963 : 1, 3, 9, 107, 321, 963
721 : 1, 7, 103, 721
341 : 1, 11, 31, 341
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,963,721,341,646, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
963:3x 3x 107
721:7x 103
341:11x 31
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 43131797458596/(1x6)
LCM = 43131797458596/6
LCM = 7188632909766
Thus, we can understand that the LCM of 282,963,721,341,646 is 7188632909766.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 963, 721, 341, 646
1. What is the LCM of 282, 963, 721, 341, 646?
Answer: LCM of 282, 963, 721, 341, 646 is 7188632909766.
2. How to calculate the LCM of 282, 963, 721, 341, 646?
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 282, 963, 721, 341, 646.
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}.