LCM of 603, 980, 471, 776, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 980, 471, 776, 599 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 603, 980, 471, 776, 599. So, keep reading to learn more.
Given numbers are 603,980,471,776,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,980,471,776,599 is 10781311461480.
Find LCM of 603,980,471,776,599 with Prime Factorization
| 2 | 603, 980, 471, 776, 599 |
| 2 | 603, 490, 471, 388, 599 |
| 3 | 603, 245, 471, 194, 599 |
| 201, 245, 157, 194, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 201 x 245 x 157 x 194 x 599 = 10781311461480
Therefore, the lowest common multiple of 603,980,471,776,599 is 10781311461480.
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.
603 x 980 x 471 x 776 x 599 = 129375737537760
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.
603 : 1, 3, 9, 67, 201, 603
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
471 : 1, 3, 157, 471
776 : 1, 2, 4, 8, 97, 194, 388, 776
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,980,471,776,599, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
980:2x 2x 5x 7x 7
471:3x 157
776:2x 2x 2x 97
599:599
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 3 = 12
Therefore, the value for common factors is 12.
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 = 129375737537760/(1x12)
LCM = 129375737537760/12
LCM = 10781311461480
Thus, we can understand that the LCM of 603,980,471,776,599 is 10781311461480.
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FAQs on LCM of 603, 980, 471, 776, 599
1. What is the LCM of 603, 980, 471, 776, 599?
Answer: LCM of 603, 980, 471, 776, 599 is 10781311461480.
2. How to calculate the LCM of 603, 980, 471, 776, 599?
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 603, 980, 471, 776, 599.
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}.