LCM of 942, 680, 622, 420, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 680, 622, 420, 486 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 942, 680, 622, 420, 486. So, keep reading to learn more.
Given numbers are 942,680,622,420,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,680,622,420,486 is 56477214360.
Find LCM of 942,680,622,420,486 with Prime Factorization
| 2 | 942, 680, 622, 420, 486 |
| 2 | 471, 340, 311, 210, 243 |
| 3 | 471, 170, 311, 105, 243 |
| 5 | 157, 170, 311, 35, 81 |
| 157, 34, 311, 7, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 157 x 34 x 311 x 7 x 81 = 56477214360
Therefore, the lowest common multiple of 942,680,622,420,486 is 56477214360.
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.
942 x 680 x 622 x 420 x 486 = 81327188678400
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
622 : 1, 2, 311, 622
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,680,622,420,486, is 2.
Now, the common factors can be found like this.
942:2x 3x 157
680:2x 2x 2x 5x 17
622:2x 311
420:2x 2x 3x 5x 7
486:2x 3x 3x 3x 3x 3
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 81327188678400/(2x720)
LCM = 81327188678400/1440
LCM = 56477214360
Thus, we can understand that the LCM of 942,680,622,420,486 is 56477214360.
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FAQs on LCM of 942, 680, 622, 420, 486
1. What is the LCM of 942, 680, 622, 420, 486?
Answer: LCM of 942, 680, 622, 420, 486 is 56477214360.
2. How to calculate the LCM of 942, 680, 622, 420, 486?
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 942, 680, 622, 420, 486.
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}.