LCM of 713, 731, 406, 620, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 731, 406, 620, 987 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 713, 731, 406, 620, 987. So, keep reading to learn more.
Given numbers are 713,731,406,620,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,731,406,620,987 is 298367869380.
Find LCM of 713,731,406,620,987 with Prime Factorization
| 2 | 713, 731, 406, 620, 987 |
| 7 | 713, 731, 203, 310, 987 |
| 31 | 713, 731, 29, 310, 141 |
| 23, 731, 29, 10, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 23 x 731 x 29 x 10 x 141 = 298367869380
Therefore, the lowest common multiple of 713,731,406,620,987 is 298367869380.
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.
713 x 731 x 406 x 620 x 987 = 129491655310920
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.
713 : 1, 23, 31, 713
731 : 1, 17, 43, 731
406 : 1, 2, 7, 14, 29, 58, 203, 406
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,731,406,620,987, is 1.
Now, the common factors can be found like this.
713:23x 31
731:17x 43
406:2x 7x 29
620:2x 2x 5x 31
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 31 = 434
Therefore, the value for common factors is 434.
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 = 129491655310920/(1x434)
LCM = 129491655310920/434
LCM = 298367869380
Thus, we can understand that the LCM of 713,731,406,620,987 is 298367869380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 713, 731, 406, 620, 987
1. What is the LCM of 713, 731, 406, 620, 987?
Answer: LCM of 713, 731, 406, 620, 987 is 298367869380.
2. How to calculate the LCM of 713, 731, 406, 620, 987?
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 713, 731, 406, 620, 987.
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}.