LCM of 760, 272, 964, 168, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 272, 964, 168, 684 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 760, 272, 964, 168, 684. So, keep reading to learn more.
Given numbers are 760,272,964,168,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,272,964,168,684 is 392328720.
Find LCM of 760,272,964,168,684 with Prime Factorization
| 2 | 760, 272, 964, 168, 684 |
| 2 | 380, 136, 482, 84, 342 |
| 2 | 190, 68, 241, 42, 171 |
| 3 | 95, 34, 241, 21, 171 |
| 19 | 95, 34, 241, 7, 57 |
| 5, 34, 241, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 5 x 34 x 241 x 7 x 3 = 392328720
Therefore, the lowest common multiple of 760,272,964,168,684 is 392328720.
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.
760 x 272 x 964 x 168 x 684 = 22899442728960
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
964 : 1, 2, 4, 241, 482, 964
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,272,964,168,684, is 4.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
272:2x 2x 2x 2x 17
964:2x 2x 241
168:2x 2x 2x 3x 7
684:2x 2x 3x 3x 19
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 2x 2x 2x 2x 2x 3x 19 = 14592
Therefore, the value for common factors is 14592.
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 = 22899442728960/(4x14592)
LCM = 22899442728960/58368
LCM = 392328720
Thus, we can understand that the LCM of 760,272,964,168,684 is 392328720.
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FAQs on LCM of 760, 272, 964, 168, 684
1. What is the LCM of 760, 272, 964, 168, 684?
Answer: LCM of 760, 272, 964, 168, 684 is 392328720.
2. How to calculate the LCM of 760, 272, 964, 168, 684?
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 760, 272, 964, 168, 684.
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}.