LCM of 287, 941, 870, 798, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 941, 870, 798, 635 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 287, 941, 870, 798, 635. So, keep reading to learn more.
Given numbers are 287,941,870,798,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,941,870,798,635 is 566954353770.
Find LCM of 287,941,870,798,635 with Prime Factorization
| 2 | 287, 941, 870, 798, 635 |
| 3 | 287, 941, 435, 399, 635 |
| 5 | 287, 941, 145, 133, 635 |
| 7 | 287, 941, 29, 133, 127 |
| 41, 941, 29, 19, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 41 x 941 x 29 x 19 x 127 = 566954353770
Therefore, the lowest common multiple of 287,941,870,798,635 is 566954353770.
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.
287 x 941 x 870 x 798 x 635 = 119060414291700
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.
287 : 1, 7, 41, 287
941 : 1, 941
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,941,870,798,635, is 1.
Now, the common factors can be found like this.
287:7x 41
941:941
870:2x 3x 5x 29
798:2x 3x 7x 19
635:5x 127
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 119060414291700/(1x210)
LCM = 119060414291700/210
LCM = 566954353770
Thus, we can understand that the LCM of 287,941,870,798,635 is 566954353770.
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FAQs on LCM of 287, 941, 870, 798, 635
1. What is the LCM of 287, 941, 870, 798, 635?
Answer: LCM of 287, 941, 870, 798, 635 is 566954353770.
2. How to calculate the LCM of 287, 941, 870, 798, 635?
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 287, 941, 870, 798, 635.
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}.