LCM of 603, 541, 819, 270, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 541, 819, 270, 316 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, 541, 819, 270, 316. So, keep reading to learn more.
Given numbers are 603,541,819,270,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,541,819,270,316 is 140713028820.
Find LCM of 603,541,819,270,316 with Prime Factorization
| 2 | 603, 541, 819, 270, 316 |
| 3 | 603, 541, 819, 135, 158 |
| 3 | 201, 541, 273, 45, 158 |
| 67, 541, 91, 15, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 67 x 541 x 91 x 15 x 158 = 140713028820
Therefore, the lowest common multiple of 603,541,819,270,316 is 140713028820.
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 541 x 819 x 270 x 316 = 22795510668840
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
541 : 1, 541
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,541,819,270,316, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
541:541
819:3x 3x 7x 13
270:2x 3x 3x 3x 5
316:2x 2x 79
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 22795510668840/(1x162)
LCM = 22795510668840/162
LCM = 140713028820
Thus, we can understand that the LCM of 603,541,819,270,316 is 140713028820.
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FAQs on LCM of 603, 541, 819, 270, 316
1. What is the LCM of 603, 541, 819, 270, 316?
Answer: LCM of 603, 541, 819, 270, 316 is 140713028820.
2. How to calculate the LCM of 603, 541, 819, 270, 316?
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, 541, 819, 270, 316.
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}.