LCM of 941, 638, 540, 638, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 638, 540, 638, 513 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, 638, 540, 638, 513. So, keep reading to learn more.
Given numbers are 941,638,540,638,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,638,540,638,513 is 3079836540.
Find LCM of 941,638,540,638,513 with Prime Factorization
| 2 | 941, 638, 540, 638, 513 |
| 3 | 941, 319, 270, 319, 513 |
| 3 | 941, 319, 90, 319, 171 |
| 3 | 941, 319, 30, 319, 57 |
| 11 | 941, 319, 10, 319, 19 |
| 29 | 941, 29, 10, 29, 19 |
| 941, 1, 10, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 29 x 941 x 1 x 10 x 1 x 19 = 3079836540
Therefore, the lowest common multiple of 941,638,540,638,513 is 3079836540.
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 638 x 540 x 638 x 513 = 106106528476080
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
638 : 1, 2, 11, 22, 29, 58, 319, 638
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,638,540,638,513, is 1.
Now, the common factors can be found like this.
941:941
638:2x 11x 29
540:2x 2x 3x 3x 3x 5
638:2x 11x 29
513:3x 3x 3x 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 2x 3x 3x 3x 11x 29 = 34452
Therefore, the value for common factors is 34452.
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 = 106106528476080/(1x34452)
LCM = 106106528476080/34452
LCM = 3079836540
Thus, we can understand that the LCM of 941,638,540,638,513 is 3079836540.
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FAQs on LCM of 941, 638, 540, 638, 513
1. What is the LCM of 941, 638, 540, 638, 513?
Answer: LCM of 941, 638, 540, 638, 513 is 3079836540.
2. How to calculate the LCM of 941, 638, 540, 638, 513?
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, 638, 540, 638, 513.
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}.