LCM of 959, 835, 899, 588, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 835, 899, 588, 980 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 959, 835, 899, 588, 980. So, keep reading to learn more.
Given numbers are 959,835,899,588,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,835,899,588,980 is 60470569740.
Find LCM of 959,835,899,588,980 with Prime Factorization
| 2 | 959, 835, 899, 588, 980 |
| 2 | 959, 835, 899, 294, 490 |
| 5 | 959, 835, 899, 147, 245 |
| 7 | 959, 167, 899, 147, 49 |
| 7 | 137, 167, 899, 21, 7 |
| 137, 167, 899, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 137 x 167 x 899 x 3 x 1 = 60470569740
Therefore, the lowest common multiple of 959,835,899,588,980 is 60470569740.
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.
959 x 835 x 899 x 588 x 980 = 414828108416400
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.
959 : 1, 7, 137, 959
835 : 1, 5, 167, 835
899 : 1, 29, 31, 899
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,835,899,588,980, is 1.
Now, the common factors can be found like this.
959:7x 137
835:5x 167
899:29x 31
588:2x 2x 3x 7x 7
980:2x 2x 5x 7x 7
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 7x 7x 7 = 6860
Therefore, the value for common factors is 6860.
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 = 414828108416400/(1x6860)
LCM = 414828108416400/6860
LCM = 60470569740
Thus, we can understand that the LCM of 959,835,899,588,980 is 60470569740.
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FAQs on LCM of 959, 835, 899, 588, 980
1. What is the LCM of 959, 835, 899, 588, 980?
Answer: LCM of 959, 835, 899, 588, 980 is 60470569740.
2. How to calculate the LCM of 959, 835, 899, 588, 980?
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 959, 835, 899, 588, 980.
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}.