LCM of 357, 519, 762, 196, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 519, 762, 196, 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 357, 519, 762, 196, 889. So, keep reading to learn more.
Given numbers are 357,519,762,196,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,519,762,196,889 is 219622116.
Find LCM of 357,519,762,196,889 with Prime Factorization
| 2 | 357, 519, 762, 196, 889 |
| 3 | 357, 519, 381, 98, 889 |
| 7 | 119, 173, 127, 98, 889 |
| 127 | 17, 173, 127, 14, 127 |
| 17, 173, 1, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 17 x 173 x 1 x 14 x 1 = 219622116
Therefore, the lowest common multiple of 357,519,762,196,889 is 219622116.
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.
357 x 519 x 762 x 196 x 889 = 24600751701624
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
519 : 1, 3, 173, 519
762 : 1, 2, 3, 6, 127, 254, 381, 762
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,519,762,196,889, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
519:3x 173
762:2x 3x 127
196:2x 2x 7x 7
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.
2x 3x 3x 7x 7x 127 = 112014
Therefore, the value for common factors is 112014.
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 = 24600751701624/(1x112014)
LCM = 24600751701624/112014
LCM = 219622116
Thus, we can understand that the LCM of 357,519,762,196,889 is 219622116.
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FAQs on LCM of 357, 519, 762, 196, 889
1. What is the LCM of 357, 519, 762, 196, 889?
Answer: LCM of 357, 519, 762, 196, 889 is 219622116.
2. How to calculate the LCM of 357, 519, 762, 196, 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 357, 519, 762, 196, 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}.