LCM of 110, 302, 420, 364, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 302, 420, 364, 182 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 110, 302, 420, 364, 182. So, keep reading to learn more.
Given numbers are 110,302,420,364,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,302,420,364,182 is 9069060.
Find LCM of 110,302,420,364,182 with Prime Factorization
| 2 | 110, 302, 420, 364, 182 |
| 2 | 55, 151, 210, 182, 91 |
| 5 | 55, 151, 105, 91, 91 |
| 7 | 11, 151, 21, 91, 91 |
| 13 | 11, 151, 3, 13, 13 |
| 11, 151, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 11 x 151 x 3 x 1 x 1 = 9069060
Therefore, the lowest common multiple of 110,302,420,364,182 is 9069060.
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.
110 x 302 x 420 x 364 x 182 = 924318595200
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
302 : 1, 2, 151, 302
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
182 : 1, 2, 7, 13, 14, 26, 91, 182
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,302,420,364,182, is 2.
Now, the common factors can be found like this.
110:2x 5x 11
302:2x 151
420:2x 2x 3x 5x 7
364:2x 2x 7x 13
182:2x 7x 13
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 5x 7x 7x 13 = 50960
Therefore, the value for common factors is 50960.
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 = 924318595200/(2x50960)
LCM = 924318595200/101920
LCM = 9069060
Thus, we can understand that the LCM of 110,302,420,364,182 is 9069060.
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FAQs on LCM of 110, 302, 420, 364, 182
1. What is the LCM of 110, 302, 420, 364, 182?
Answer: LCM of 110, 302, 420, 364, 182 is 9069060.
2. How to calculate the LCM of 110, 302, 420, 364, 182?
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 110, 302, 420, 364, 182.
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}.