LCM of 787, 221, 187, 407, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 221, 187, 407, 692 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 787, 221, 187, 407, 692. So, keep reading to learn more.
Given numbers are 787,221,187,407,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,221,187,407,692 is 48985495988.
Find LCM of 787,221,187,407,692 with Prime Factorization
| 11 | 787, 221, 187, 407, 692 |
| 17 | 787, 221, 17, 37, 692 |
| 787, 13, 1, 37, 692 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 787 x 13 x 1 x 37 x 692 = 48985495988
Therefore, the lowest common multiple of 787,221,187,407,692 is 48985495988.
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.
787 x 221 x 187 x 407 x 692 = 9160287749756
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.
787 : 1, 787
221 : 1, 13, 17, 221
187 : 1, 11, 17, 187
407 : 1, 11, 37, 407
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,221,187,407,692, is 1.
Now, the common factors can be found like this.
787:787
221:13x 17
187:11x 17
407:11x 37
692:2x 2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 9160287749756/(1x187)
LCM = 9160287749756/187
LCM = 48985495988
Thus, we can understand that the LCM of 787,221,187,407,692 is 48985495988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 221, 187, 407, 692
1. What is the LCM of 787, 221, 187, 407, 692?
Answer: LCM of 787, 221, 187, 407, 692 is 48985495988.
2. How to calculate the LCM of 787, 221, 187, 407, 692?
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 787, 221, 187, 407, 692.
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}.