LCM of 721, 602, 731, 930, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 602, 731, 930, 266 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, 602, 731, 930, 266. So, keep reading to learn more.
Given numbers are 721,602,731,930,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,602,731,930,266 is 9312991170.
Find LCM of 721,602,731,930,266 with Prime Factorization
| 2 | 721, 602, 731, 930, 266 |
| 7 | 721, 301, 731, 465, 133 |
| 43 | 103, 43, 731, 465, 19 |
| 103, 1, 17, 465, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 103 x 1 x 17 x 465 x 19 = 9312991170
Therefore, the lowest common multiple of 721,602,731,930,266 is 9312991170.
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 602 x 731 x 930 x 266 = 78489889580760
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
602 : 1, 2, 7, 14, 43, 86, 301, 602
731 : 1, 17, 43, 731
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,602,731,930,266, is 1.
Now, the common factors can be found like this.
721:7x 103
602:2x 7x 43
731:17x 43
930:2x 3x 5x 31
266:2x 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 7x 7x 43 = 8428
Therefore, the value for common factors is 8428.
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 = 78489889580760/(1x8428)
LCM = 78489889580760/8428
LCM = 9312991170
Thus, we can understand that the LCM of 721,602,731,930,266 is 9312991170.
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FAQs on LCM of 721, 602, 731, 930, 266
1. What is the LCM of 721, 602, 731, 930, 266?
Answer: LCM of 721, 602, 731, 930, 266 is 9312991170.
2. How to calculate the LCM of 721, 602, 731, 930, 266?
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, 602, 731, 930, 266.
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}.