LCM of 137, 822, 959, 695, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 822, 959, 695, 371 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 137, 822, 959, 695, 371. So, keep reading to learn more.
Given numbers are 137,822,959,695,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,822,959,695,371 is 211948590.
Find LCM of 137,822,959,695,371 with Prime Factorization
| 7 | 137, 822, 959, 695, 371 |
| 137 | 137, 822, 137, 695, 53 |
| 1, 6, 1, 695, 53 |
Multiply the prime numbers at the bottom and the left side.
7 x 137 x 1 x 6 x 1 x 695 x 53 = 211948590
Therefore, the lowest common multiple of 137,822,959,695,371 is 211948590.
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.
137 x 822 x 959 x 695 x 371 = 27846441599970
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.
137 : 1, 137
822 : 1, 2, 3, 6, 137, 274, 411, 822
959 : 1, 7, 137, 959
695 : 1, 5, 139, 695
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,822,959,695,371, is 1.
Now, the common factors can be found like this.
137:137
822:2x 3x 137
959:7x 137
695:5x 139
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 137x 137 = 131383
Therefore, the value for common factors is 131383.
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 = 27846441599970/(1x131383)
LCM = 27846441599970/131383
LCM = 211948590
Thus, we can understand that the LCM of 137,822,959,695,371 is 211948590.
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FAQs on LCM of 137, 822, 959, 695, 371
1. What is the LCM of 137, 822, 959, 695, 371?
Answer: LCM of 137, 822, 959, 695, 371 is 211948590.
2. How to calculate the LCM of 137, 822, 959, 695, 371?
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 137, 822, 959, 695, 371.
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}.