LCM of 635, 578, 323, 603, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 578, 323, 603, 869 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 635, 578, 323, 603, 869. So, keep reading to learn more.
Given numbers are 635,578,323,603,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,578,323,603,869 is 3654199494990.
Find LCM of 635,578,323,603,869 with Prime Factorization
| 17 | 635, 578, 323, 603, 869 |
| 635, 34, 19, 603, 869 |
Multiply the prime numbers at the bottom and the left side.
17 x 635 x 34 x 19 x 603 x 869 = 3654199494990
Therefore, the lowest common multiple of 635,578,323,603,869 is 3654199494990.
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.
635 x 578 x 323 x 603 x 869 = 62121391414830
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.
635 : 1, 5, 127, 635
578 : 1, 2, 17, 34, 289, 578
323 : 1, 17, 19, 323
603 : 1, 3, 9, 67, 201, 603
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,578,323,603,869, is 1.
Now, the common factors can be found like this.
635:5x 127
578:2x 17x 17
323:17x 19
603:3x 3x 67
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 62121391414830/(1x17)
LCM = 62121391414830/17
LCM = 3654199494990
Thus, we can understand that the LCM of 635,578,323,603,869 is 3654199494990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 578, 323, 603, 869
1. What is the LCM of 635, 578, 323, 603, 869?
Answer: LCM of 635, 578, 323, 603, 869 is 3654199494990.
2. How to calculate the LCM of 635, 578, 323, 603, 869?
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 635, 578, 323, 603, 869.
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}.