LCM of 262, 403, 130, 710, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 403, 130, 710, 136 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, 403, 130, 710, 136. So, keep reading to learn more.
Given numbers are 262,403,130,710,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,403,130,710,136 is 2548846040.
Find LCM of 262,403,130,710,136 with Prime Factorization
| 2 | 262, 403, 130, 710, 136 |
| 5 | 131, 403, 65, 355, 68 |
| 13 | 131, 403, 13, 71, 68 |
| 131, 31, 1, 71, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 131 x 31 x 1 x 71 x 68 = 2548846040
Therefore, the lowest common multiple of 262,403,130,710,136 is 2548846040.
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 403 x 130 x 710 x 136 = 1325399940800
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
403 : 1, 13, 31, 403
130 : 1, 2, 5, 10, 13, 26, 65, 130
710 : 1, 2, 5, 10, 71, 142, 355, 710
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,403,130,710,136, is 1.
Now, the common factors can be found like this.
262:2x 131
403:13x 31
130:2x 5x 13
710:2x 5x 71
136:2x 2x 2x 17
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 5x 13 = 520
Therefore, the value for common factors is 520.
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 = 1325399940800/(1x520)
LCM = 1325399940800/520
LCM = 2548846040
Thus, we can understand that the LCM of 262,403,130,710,136 is 2548846040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 403, 130, 710, 136
1. What is the LCM of 262, 403, 130, 710, 136?
Answer: LCM of 262, 403, 130, 710, 136 is 2548846040.
2. How to calculate the LCM of 262, 403, 130, 710, 136?
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, 403, 130, 710, 136.
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}.