LCM of 191, 968, 715, 264, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 968, 715, 264, 467 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 191, 968, 715, 264, 467. So, keep reading to learn more.
Given numbers are 191,968,715,264,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,968,715,264,467 is 16836825720.
Find LCM of 191,968,715,264,467 with Prime Factorization
| 2 | 191, 968, 715, 264, 467 |
| 2 | 191, 484, 715, 132, 467 |
| 2 | 191, 242, 715, 66, 467 |
| 11 | 191, 121, 715, 33, 467 |
| 191, 11, 65, 3, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 191 x 11 x 65 x 3 x 467 = 16836825720
Therefore, the lowest common multiple of 191,968,715,264,467 is 16836825720.
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.
191 x 968 x 715 x 264 x 467 = 16298047296960
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.
191 : 1, 191
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
715 : 1, 5, 11, 13, 55, 65, 143, 715
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,968,715,264,467, is 1.
Now, the common factors can be found like this.
191:191
968:2x 2x 2x 11x 11
715:5x 11x 13
264:2x 2x 2x 3x 11
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 16298047296960/(1x968)
LCM = 16298047296960/968
LCM = 16836825720
Thus, we can understand that the LCM of 191,968,715,264,467 is 16836825720.
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FAQs on LCM of 191, 968, 715, 264, 467
1. What is the LCM of 191, 968, 715, 264, 467?
Answer: LCM of 191, 968, 715, 264, 467 is 16836825720.
2. How to calculate the LCM of 191, 968, 715, 264, 467?
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 191, 968, 715, 264, 467.
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}.