LCM of 220, 342, 535, 726, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 342, 535, 726, 465 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 220, 342, 535, 726, 465. So, keep reading to learn more.
Given numbers are 220,342,535,726,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,342,535,726,465 is 1372640940.
Find LCM of 220,342,535,726,465 with Prime Factorization
| 2 | 220, 342, 535, 726, 465 |
| 3 | 110, 171, 535, 363, 465 |
| 5 | 110, 57, 535, 121, 155 |
| 11 | 22, 57, 107, 121, 31 |
| 2, 57, 107, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 2 x 57 x 107 x 11 x 31 = 1372640940
Therefore, the lowest common multiple of 220,342,535,726,465 is 1372640940.
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.
220 x 342 x 535 x 726 x 465 = 13589145306000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
535 : 1, 5, 107, 535
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,342,535,726,465, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
342:2x 3x 3x 19
535:5x 107
726:2x 3x 11x 11
465:3x 5x 31
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 5x 5x 11 = 9900
Therefore, the value for common factors is 9900.
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 = 13589145306000/(1x9900)
LCM = 13589145306000/9900
LCM = 1372640940
Thus, we can understand that the LCM of 220,342,535,726,465 is 1372640940.
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FAQs on LCM of 220, 342, 535, 726, 465
1. What is the LCM of 220, 342, 535, 726, 465?
Answer: LCM of 220, 342, 535, 726, 465 is 1372640940.
2. How to calculate the LCM of 220, 342, 535, 726, 465?
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 220, 342, 535, 726, 465.
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}.