LCM of 603, 748, 138, 407, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 748, 138, 407, 645 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, 748, 138, 407, 645. So, keep reading to learn more.
Given numbers are 603,748,138,407,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,748,138,407,645 is 82525265460.
Find LCM of 603,748,138,407,645 with Prime Factorization
| 2 | 603, 748, 138, 407, 645 |
| 3 | 603, 374, 69, 407, 645 |
| 11 | 201, 374, 23, 407, 215 |
| 201, 34, 23, 37, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 201 x 34 x 23 x 37 x 215 = 82525265460
Therefore, the lowest common multiple of 603,748,138,407,645 is 82525265460.
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 748 x 138 x 407 x 645 = 16340002561080
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
138 : 1, 2, 3, 6, 23, 46, 69, 138
407 : 1, 11, 37, 407
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,748,138,407,645, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
748:2x 2x 11x 17
138:2x 3x 23
407:11x 37
645:3x 5x 43
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 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 16340002561080/(1x198)
LCM = 16340002561080/198
LCM = 82525265460
Thus, we can understand that the LCM of 603,748,138,407,645 is 82525265460.
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FAQs on LCM of 603, 748, 138, 407, 645
1. What is the LCM of 603, 748, 138, 407, 645?
Answer: LCM of 603, 748, 138, 407, 645 is 82525265460.
2. How to calculate the LCM of 603, 748, 138, 407, 645?
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, 748, 138, 407, 645.
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}.