LCM of 760, 264, 654, 824, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 264, 654, 824, 208 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, 264, 654, 824, 208. So, keep reading to learn more.
Given numbers are 760,264,654,824,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,264,654,824,208 is 7320902160.
Find LCM of 760,264,654,824,208 with Prime Factorization
| 2 | 760, 264, 654, 824, 208 |
| 2 | 380, 132, 327, 412, 104 |
| 2 | 190, 66, 327, 206, 52 |
| 3 | 95, 33, 327, 103, 26 |
| 95, 11, 109, 103, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 95 x 11 x 109 x 103 x 26 = 7320902160
Therefore, the lowest common multiple of 760,264,654,824,208 is 7320902160.
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 264 x 654 x 824 x 208 = 22489811435520
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
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
654 : 1, 2, 3, 6, 109, 218, 327, 654
824 : 1, 2, 4, 8, 103, 206, 412, 824
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,264,654,824,208, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
264:2x 2x 2x 3x 11
654:2x 3x 109
824:2x 2x 2x 103
208:2x 2x 2x 2x 13
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 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 22489811435520/(2x1536)
LCM = 22489811435520/3072
LCM = 7320902160
Thus, we can understand that the LCM of 760,264,654,824,208 is 7320902160.
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FAQs on LCM of 760, 264, 654, 824, 208
1. What is the LCM of 760, 264, 654, 824, 208?
Answer: LCM of 760, 264, 654, 824, 208 is 7320902160.
2. How to calculate the LCM of 760, 264, 654, 824, 208?
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, 264, 654, 824, 208.
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}.