LCM of 721, 210, 938, 925, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 210, 938, 925, 111 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 721, 210, 938, 925, 111. So, keep reading to learn more.
Given numbers are 721,210,938,925,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,210,938,925,111 is 268103850.
Find LCM of 721,210,938,925,111 with Prime Factorization
| 2 | 721, 210, 938, 925, 111 |
| 3 | 721, 105, 469, 925, 111 |
| 5 | 721, 35, 469, 925, 37 |
| 7 | 721, 7, 469, 185, 37 |
| 37 | 103, 1, 67, 185, 37 |
| 103, 1, 67, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 37 x 103 x 1 x 67 x 5 x 1 = 268103850
Therefore, the lowest common multiple of 721,210,938,925,111 is 268103850.
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.
721 x 210 x 938 x 925 x 111 = 14582168401500
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.
721 : 1, 7, 103, 721
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
938 : 1, 2, 7, 14, 67, 134, 469, 938
925 : 1, 5, 25, 37, 185, 925
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,210,938,925,111, is 1.
Now, the common factors can be found like this.
721:7x 103
210:2x 3x 5x 7
938:2x 7x 67
925:5x 5x 37
111:3x 37
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 7x 7x 37 = 54390
Therefore, the value for common factors is 54390.
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 = 14582168401500/(1x54390)
LCM = 14582168401500/54390
LCM = 268103850
Thus, we can understand that the LCM of 721,210,938,925,111 is 268103850.
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FAQs on LCM of 721, 210, 938, 925, 111
1. What is the LCM of 721, 210, 938, 925, 111?
Answer: LCM of 721, 210, 938, 925, 111 is 268103850.
2. How to calculate the LCM of 721, 210, 938, 925, 111?
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 721, 210, 938, 925, 111.
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}.