LCM of 210, 338, 975, 985, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 338, 975, 985, 427 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, 338, 975, 985, 427. So, keep reading to learn more.
Given numbers are 210,338,975,985,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,338,975,985,427 is 2132416650.
Find LCM of 210,338,975,985,427 with Prime Factorization
| 2 | 210, 338, 975, 985, 427 |
| 3 | 105, 169, 975, 985, 427 |
| 5 | 35, 169, 325, 985, 427 |
| 7 | 7, 169, 65, 197, 427 |
| 13 | 1, 169, 65, 197, 61 |
| 1, 13, 5, 197, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 1 x 13 x 5 x 197 x 61 = 2132416650
Therefore, the lowest common multiple of 210,338,975,985,427 is 2132416650.
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 338 x 975 x 985 x 427 = 29107487272500
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
338 : 1, 2, 13, 26, 169, 338
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
985 : 1, 5, 197, 985
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,338,975,985,427, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
338:2x 13x 13
975:3x 5x 5x 13
985:5x 197
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7x 13 = 13650
Therefore, the value for common factors is 13650.
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 = 29107487272500/(1x13650)
LCM = 29107487272500/13650
LCM = 2132416650
Thus, we can understand that the LCM of 210,338,975,985,427 is 2132416650.
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FAQs on LCM of 210, 338, 975, 985, 427
1. What is the LCM of 210, 338, 975, 985, 427?
Answer: LCM of 210, 338, 975, 985, 427 is 2132416650.
2. How to calculate the LCM of 210, 338, 975, 985, 427?
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, 338, 975, 985, 427.
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}.