LCM of 210, 535, 420, 566, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 535, 420, 566, 114 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 210, 535, 420, 566, 114. So, keep reading to learn more.
Given numbers are 210,535,420,566,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,535,420,566,114 is 241642380.
Find LCM of 210,535,420,566,114 with Prime Factorization
| 2 | 210, 535, 420, 566, 114 |
| 3 | 105, 535, 210, 283, 57 |
| 5 | 35, 535, 70, 283, 19 |
| 7 | 7, 107, 14, 283, 19 |
| 1, 107, 2, 283, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 107 x 2 x 283 x 19 = 241642380
Therefore, the lowest common multiple of 210,535,420,566,114 is 241642380.
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.
210 x 535 x 420 x 566 x 114 = 3044693988000
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
535 : 1, 5, 107, 535
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
566 : 1, 2, 283, 566
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,535,420,566,114, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
535:5x 107
420:2x 2x 3x 5x 7
566:2x 283
114:2x 3x 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 3x 3x 5x 5x 7 = 12600
Therefore, the value for common factors is 12600.
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 = 3044693988000/(1x12600)
LCM = 3044693988000/12600
LCM = 241642380
Thus, we can understand that the LCM of 210,535,420,566,114 is 241642380.
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FAQs on LCM of 210, 535, 420, 566, 114
1. What is the LCM of 210, 535, 420, 566, 114?
Answer: LCM of 210, 535, 420, 566, 114 is 241642380.
2. How to calculate the LCM of 210, 535, 420, 566, 114?
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 210, 535, 420, 566, 114.
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}.