LCM of 114, 182, 190, 601, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 182, 190, 601, 532 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 114, 182, 190, 601, 532. So, keep reading to learn more.
Given numbers are 114,182,190,601,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,182,190,601,532 is 62347740.
Find LCM of 114,182,190,601,532 with Prime Factorization
| 2 | 114, 182, 190, 601, 532 |
| 7 | 57, 91, 95, 601, 266 |
| 19 | 57, 13, 95, 601, 38 |
| 3, 13, 5, 601, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 3 x 13 x 5 x 601 x 2 = 62347740
Therefore, the lowest common multiple of 114,182,190,601,532 is 62347740.
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.
114 x 182 x 190 x 601 x 532 = 1260421911840
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
182 : 1, 2, 7, 13, 14, 26, 91, 182
190 : 1, 2, 5, 10, 19, 38, 95, 190
601 : 1, 601
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,182,190,601,532, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
182:2x 7x 13
190:2x 5x 19
601:601
532:2x 2x 7x 19
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 7x 19x 19 = 20216
Therefore, the value for common factors is 20216.
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 = 1260421911840/(1x20216)
LCM = 1260421911840/20216
LCM = 62347740
Thus, we can understand that the LCM of 114,182,190,601,532 is 62347740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 182, 190, 601, 532
1. What is the LCM of 114, 182, 190, 601, 532?
Answer: LCM of 114, 182, 190, 601, 532 is 62347740.
2. How to calculate the LCM of 114, 182, 190, 601, 532?
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 114, 182, 190, 601, 532.
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}.