LCM of 938, 720, 822, 690, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 720, 822, 690, 981 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 938, 720, 822, 690, 981. So, keep reading to learn more.
Given numbers are 938,720,822,690,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,720,822,690,981 is 115979235120.
Find LCM of 938,720,822,690,981 with Prime Factorization
| 2 | 938, 720, 822, 690, 981 |
| 3 | 469, 360, 411, 345, 981 |
| 3 | 469, 120, 137, 115, 327 |
| 5 | 469, 40, 137, 115, 109 |
| 469, 8, 137, 23, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 469 x 8 x 137 x 23 x 109 = 115979235120
Therefore, the lowest common multiple of 938,720,822,690,981 is 115979235120.
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.
938 x 720 x 822 x 690 x 981 = 375772721788800
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,720,822,690,981, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
720:2x 2x 2x 2x 3x 3x 5
822:2x 3x 137
690:2x 3x 5x 23
981:3x 3x 109
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 375772721788800/(1x3240)
LCM = 375772721788800/3240
LCM = 115979235120
Thus, we can understand that the LCM of 938,720,822,690,981 is 115979235120.
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FAQs on LCM of 938, 720, 822, 690, 981
1. What is the LCM of 938, 720, 822, 690, 981?
Answer: LCM of 938, 720, 822, 690, 981 is 115979235120.
2. How to calculate the LCM of 938, 720, 822, 690, 981?
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 938, 720, 822, 690, 981.
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}.