LCM of 553, 137, 357, 986, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 137, 357, 986, 889 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 553, 137, 357, 986, 889. So, keep reading to learn more.
Given numbers are 553,137,357,986,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,137,357,986,889 is 28460831826.
Find LCM of 553,137,357,986,889 with Prime Factorization
| 7 | 553, 137, 357, 986, 889 |
| 17 | 79, 137, 51, 986, 127 |
| 79, 137, 3, 58, 127 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 79 x 137 x 3 x 58 x 127 = 28460831826
Therefore, the lowest common multiple of 553,137,357,986,889 is 28460831826.
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.
553 x 137 x 357 x 986 x 889 = 23707872911058
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.
553 : 1, 7, 79, 553
137 : 1, 137
357 : 1, 3, 7, 17, 21, 51, 119, 357
986 : 1, 2, 17, 29, 34, 58, 493, 986
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,137,357,986,889, is 1.
Now, the common factors can be found like this.
553:7x 79
137:137
357:3x 7x 17
986:2x 17x 29
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 17 = 833
Therefore, the value for common factors is 833.
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 = 23707872911058/(1x833)
LCM = 23707872911058/833
LCM = 28460831826
Thus, we can understand that the LCM of 553,137,357,986,889 is 28460831826.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 137, 357, 986, 889
1. What is the LCM of 553, 137, 357, 986, 889?
Answer: LCM of 553, 137, 357, 986, 889 is 28460831826.
2. How to calculate the LCM of 553, 137, 357, 986, 889?
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 553, 137, 357, 986, 889.
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}.