LCM of 731, 145, 596, 298, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 145, 596, 298, 977 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 731, 145, 596, 298, 977. So, keep reading to learn more.
Given numbers are 731,145,596,298,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,145,596,298,977 is 61720040540.
Find LCM of 731,145,596,298,977 with Prime Factorization
| 2 | 731, 145, 596, 298, 977 |
| 149 | 731, 145, 298, 149, 977 |
| 731, 145, 2, 1, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 731 x 145 x 2 x 1 x 977 = 61720040540
Therefore, the lowest common multiple of 731,145,596,298,977 is 61720040540.
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.
731 x 145 x 596 x 298 x 977 = 18392572080920
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.
731 : 1, 17, 43, 731
145 : 1, 5, 29, 145
596 : 1, 2, 4, 149, 298, 596
298 : 1, 2, 149, 298
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,145,596,298,977, is 1.
Now, the common factors can be found like this.
731:17x 43
145:5x 29
596:2x 2x 149
298:2x 149
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 18392572080920/(1x298)
LCM = 18392572080920/298
LCM = 61720040540
Thus, we can understand that the LCM of 731,145,596,298,977 is 61720040540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 145, 596, 298, 977
1. What is the LCM of 731, 145, 596, 298, 977?
Answer: LCM of 731, 145, 596, 298, 977 is 61720040540.
2. How to calculate the LCM of 731, 145, 596, 298, 977?
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 731, 145, 596, 298, 977.
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}.