LCM of 889, 508, 520, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 508, 520, 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 889, 508, 520, 635. So, keep reading to learn more.
Given numbers are 889,508,520,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,508,520,635 is 462280.
Find LCM of 889,508,520,635 with Prime Factorization
| 2 | 889, 508, 520, 635 |
| 2 | 889, 254, 260, 635 |
| 5 | 889, 127, 130, 635 |
| 127 | 889, 127, 26, 127 |
| 7, 1, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 7 x 1 x 26 x 1 = 462280
Therefore, the lowest common multiple of 889,508,520,635 is 462280.
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.
889 x 508 x 520 x 635 = 149122282400
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.
889 : 1, 7, 127, 889
508 : 1, 2, 4, 127, 254, 508
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,508,520,635, is 1.
Now, the common factors can be found like this.
889:7x 127
508:2x 2x 127
520:2x 2x 2x 5x 13
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 2x 5x 127x 127 = 322580
Therefore, the value for common factors is 322580.
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 = 149122282400/(1x322580)
LCM = 149122282400/322580
LCM = 462280
Thus, we can understand that the LCM of 889,508,520,635 is 462280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 508, 520, 635
1. What is the LCM of 889, 508, 520, 635?
Answer: LCM of 889, 508, 520, 635 is 462280.
2. How to calculate the LCM of 889, 508, 520, 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 889, 508, 520, 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}.