LCM of 130, 660, 696, 424, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 660, 696, 424, 421 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 130, 660, 696, 424, 421. So, keep reading to learn more.
Given numbers are 130,660,696,424,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,660,696,424,421 is 11103841320.
Find LCM of 130,660,696,424,421 with Prime Factorization
| 2 | 130, 660, 696, 424, 421 |
| 2 | 65, 330, 348, 212, 421 |
| 2 | 65, 165, 174, 106, 421 |
| 3 | 65, 165, 87, 53, 421 |
| 5 | 65, 55, 29, 53, 421 |
| 13, 11, 29, 53, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 11 x 29 x 53 x 421 = 11103841320
Therefore, the lowest common multiple of 130,660,696,424,421 is 11103841320.
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.
130 x 660 x 696 x 424 x 421 = 10659687667200
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
424 : 1, 2, 4, 8, 53, 106, 212, 424
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,660,696,424,421, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
660:2x 2x 3x 5x 11
696:2x 2x 2x 3x 29
424:2x 2x 2x 53
421:421
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 10659687667200/(1x960)
LCM = 10659687667200/960
LCM = 11103841320
Thus, we can understand that the LCM of 130,660,696,424,421 is 11103841320.
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FAQs on LCM of 130, 660, 696, 424, 421
1. What is the LCM of 130, 660, 696, 424, 421?
Answer: LCM of 130, 660, 696, 424, 421 is 11103841320.
2. How to calculate the LCM of 130, 660, 696, 424, 421?
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 130, 660, 696, 424, 421.
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}.