LCM of 913, 688, 798, 473, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 688, 798, 473, 175 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 913, 688, 798, 473, 175. So, keep reading to learn more.
Given numbers are 913,688,798,473,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,688,798,473,175 is 6265736400.
Find LCM of 913,688,798,473,175 with Prime Factorization
| 2 | 913, 688, 798, 473, 175 |
| 7 | 913, 344, 399, 473, 175 |
| 11 | 913, 344, 57, 473, 25 |
| 43 | 83, 344, 57, 43, 25 |
| 83, 8, 57, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 43 x 83 x 8 x 57 x 1 x 25 = 6265736400
Therefore, the lowest common multiple of 913,688,798,473,175 is 6265736400.
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.
913 x 688 x 798 x 473 x 175 = 41491706440800
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.
913 : 1, 11, 83, 913
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
473 : 1, 11, 43, 473
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,688,798,473,175, is 1.
Now, the common factors can be found like this.
913:11x 83
688:2x 2x 2x 2x 43
798:2x 3x 7x 19
473:11x 43
175:5x 5x 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 7x 11x 43 = 6622
Therefore, the value for common factors is 6622.
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 = 41491706440800/(1x6622)
LCM = 41491706440800/6622
LCM = 6265736400
Thus, we can understand that the LCM of 913,688,798,473,175 is 6265736400.
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FAQs on LCM of 913, 688, 798, 473, 175
1. What is the LCM of 913, 688, 798, 473, 175?
Answer: LCM of 913, 688, 798, 473, 175 is 6265736400.
2. How to calculate the LCM of 913, 688, 798, 473, 175?
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 913, 688, 798, 473, 175.
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}.