LCM of 699, 151, 302, 981, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 151, 302, 981, 313 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 699, 151, 302, 981, 313. So, keep reading to learn more.
Given numbers are 699,151,302,981,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,151,302,981,313 is 21606091398.
Find LCM of 699,151,302,981,313 with Prime Factorization
| 3 | 699, 151, 302, 981, 313 |
| 151 | 233, 151, 302, 327, 313 |
| 233, 1, 2, 327, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 151 x 233 x 1 x 2 x 327 x 313 = 21606091398
Therefore, the lowest common multiple of 699,151,302,981,313 is 21606091398.
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.
699 x 151 x 302 x 981 x 313 = 9787559403294
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.
699 : 1, 3, 233, 699
151 : 1, 151
302 : 1, 2, 151, 302
981 : 1, 3, 9, 109, 327, 981
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,151,302,981,313, is 1.
Now, the common factors can be found like this.
699:3x 233
151:151
302:2x 151
981:3x 3x 109
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 151 = 453
Therefore, the value for common factors is 453.
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 = 9787559403294/(1x453)
LCM = 9787559403294/453
LCM = 21606091398
Thus, we can understand that the LCM of 699,151,302,981,313 is 21606091398.
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FAQs on LCM of 699, 151, 302, 981, 313
1. What is the LCM of 699, 151, 302, 981, 313?
Answer: LCM of 699, 151, 302, 981, 313 is 21606091398.
2. How to calculate the LCM of 699, 151, 302, 981, 313?
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 699, 151, 302, 981, 313.
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}.