LCM of 262, 202, 507, 393, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 202, 507, 393, 940 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 262, 202, 507, 393, 940. So, keep reading to learn more.
Given numbers are 262,202,507,393,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,202,507,393,940 is 6305629980.
Find LCM of 262,202,507,393,940 with Prime Factorization
| 2 | 262, 202, 507, 393, 940 |
| 3 | 131, 101, 507, 393, 470 |
| 131 | 131, 101, 169, 131, 470 |
| 1, 101, 169, 1, 470 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 1 x 101 x 169 x 1 x 470 = 6305629980
Therefore, the lowest common multiple of 262,202,507,393,940 is 6305629980.
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.
262 x 202 x 507 x 393 x 940 = 9912450328560
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.
262 : 1, 2, 131, 262
202 : 1, 2, 101, 202
507 : 1, 3, 13, 39, 169, 507
393 : 1, 3, 131, 393
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,202,507,393,940, is 1.
Now, the common factors can be found like this.
262:2x 131
202:2x 101
507:3x 13x 13
393:3x 131
940:2x 2x 5x 47
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 131 = 1572
Therefore, the value for common factors is 1572.
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 = 9912450328560/(1x1572)
LCM = 9912450328560/1572
LCM = 6305629980
Thus, we can understand that the LCM of 262,202,507,393,940 is 6305629980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 202, 507, 393, 940
1. What is the LCM of 262, 202, 507, 393, 940?
Answer: LCM of 262, 202, 507, 393, 940 is 6305629980.
2. How to calculate the LCM of 262, 202, 507, 393, 940?
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 262, 202, 507, 393, 940.
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}.