LCM of 635, 746, 828, 286, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 746, 828, 286, 232 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, 746, 828, 286, 232. So, keep reading to learn more.
Given numbers are 635,746,828,286,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,746,828,286,232 is 1626585606360.
Find LCM of 635,746,828,286,232 with Prime Factorization
| 2 | 635, 746, 828, 286, 232 |
| 2 | 635, 373, 414, 143, 116 |
| 635, 373, 207, 143, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 635 x 373 x 207 x 143 x 58 = 1626585606360
Therefore, the lowest common multiple of 635,746,828,286,232 is 1626585606360.
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 746 x 828 x 286 x 232 = 26025369701760
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
746 : 1, 2, 373, 746
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
286 : 1, 2, 11, 13, 22, 26, 143, 286
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,746,828,286,232, is 1.
Now, the common factors can be found like this.
635:5x 127
746:2x 373
828:2x 2x 3x 3x 23
286:2x 11x 13
232:2x 2x 2x 29
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 26025369701760/(1x16)
LCM = 26025369701760/16
LCM = 1626585606360
Thus, we can understand that the LCM of 635,746,828,286,232 is 1626585606360.
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FAQs on LCM of 635, 746, 828, 286, 232
1. What is the LCM of 635, 746, 828, 286, 232?
Answer: LCM of 635, 746, 828, 286, 232 is 1626585606360.
2. How to calculate the LCM of 635, 746, 828, 286, 232?
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, 746, 828, 286, 232.
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}.