LCM of 361, 993, 520, 993, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 993, 520, 993, 740 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 361, 993, 520, 993, 740. So, keep reading to learn more.
Given numbers are 361,993,520,993,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,993,520,993,740 is 6897020520.
Find LCM of 361,993,520,993,740 with Prime Factorization
| 2 | 361, 993, 520, 993, 740 |
| 2 | 361, 993, 260, 993, 370 |
| 3 | 361, 993, 130, 993, 185 |
| 5 | 361, 331, 130, 331, 185 |
| 331 | 361, 331, 26, 331, 37 |
| 361, 1, 26, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 331 x 361 x 1 x 26 x 1 x 37 = 6897020520
Therefore, the lowest common multiple of 361,993,520,993,740 is 6897020520.
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.
361 x 993 x 520 x 993 x 740 = 136974827527200
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.
361 : 1, 19, 361
993 : 1, 3, 331, 993
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
993 : 1, 3, 331, 993
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,993,520,993,740, is 1.
Now, the common factors can be found like this.
361:19x 19
993:3x 331
520:2x 2x 2x 5x 13
993:3x 331
740:2x 2x 5x 37
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 5x 331 = 19860
Therefore, the value for common factors is 19860.
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 = 136974827527200/(1x19860)
LCM = 136974827527200/19860
LCM = 6897020520
Thus, we can understand that the LCM of 361,993,520,993,740 is 6897020520.
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FAQs on LCM of 361, 993, 520, 993, 740
1. What is the LCM of 361, 993, 520, 993, 740?
Answer: LCM of 361, 993, 520, 993, 740 is 6897020520.
2. How to calculate the LCM of 361, 993, 520, 993, 740?
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 361, 993, 520, 993, 740.
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}.