LCM of 941, 982, 576, 615, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 982, 576, 615, 640 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 941, 982, 576, 615, 640. So, keep reading to learn more.
Given numbers are 941,982,576,615,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,982,576,615,640 is 109113240960.
Find LCM of 941,982,576,615,640 with Prime Factorization
| 2 | 941, 982, 576, 615, 640 |
| 2 | 941, 491, 288, 615, 320 |
| 2 | 941, 491, 144, 615, 160 |
| 2 | 941, 491, 72, 615, 80 |
| 2 | 941, 491, 36, 615, 40 |
| 2 | 941, 491, 18, 615, 20 |
| 3 | 941, 491, 9, 615, 10 |
| 5 | 941, 491, 3, 205, 10 |
| 941, 491, 3, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 941 x 491 x 3 x 41 x 2 = 109113240960
Therefore, the lowest common multiple of 941,982,576,615,640 is 109113240960.
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.
941 x 982 x 576 x 615 x 640 = 209497422643200
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.
941 : 1, 941
982 : 1, 2, 491, 982
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
615 : 1, 3, 5, 15, 41, 123, 205, 615
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,982,576,615,640, is 1.
Now, the common factors can be found like this.
941:941
982:2x 491
576:2x 2x 2x 2x 2x 2x 3x 3
615:3x 5x 41
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 209497422643200/(1x1920)
LCM = 209497422643200/1920
LCM = 109113240960
Thus, we can understand that the LCM of 941,982,576,615,640 is 109113240960.
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FAQs on LCM of 941, 982, 576, 615, 640
1. What is the LCM of 941, 982, 576, 615, 640?
Answer: LCM of 941, 982, 576, 615, 640 is 109113240960.
2. How to calculate the LCM of 941, 982, 576, 615, 640?
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 941, 982, 576, 615, 640.
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}.