LCM of 760, 653, 654, 876, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 653, 654, 876, 256 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, 653, 654, 876, 256. So, keep reading to learn more.
Given numbers are 760,653,654,876,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,653,654,876,256 is 379094396160.
Find LCM of 760,653,654,876,256 with Prime Factorization
| 2 | 760, 653, 654, 876, 256 |
| 2 | 380, 653, 327, 438, 128 |
| 2 | 190, 653, 327, 219, 64 |
| 3 | 95, 653, 327, 219, 32 |
| 95, 653, 109, 73, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 95 x 653 x 109 x 73 x 32 = 379094396160
Therefore, the lowest common multiple of 760,653,654,876,256 is 379094396160.
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 653 x 654 x 876 x 256 = 72786124062720
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
653 : 1, 653
654 : 1, 2, 3, 6, 109, 218, 327, 654
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,653,654,876,256, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
653:653
654:2x 3x 109
876:2x 2x 3x 73
256:2x 2x 2x 2x 2x 2x 2x 2
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 3 = 192
Therefore, the value for common factors is 192.
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 = 72786124062720/(1x192)
LCM = 72786124062720/192
LCM = 379094396160
Thus, we can understand that the LCM of 760,653,654,876,256 is 379094396160.
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FAQs on LCM of 760, 653, 654, 876, 256
1. What is the LCM of 760, 653, 654, 876, 256?
Answer: LCM of 760, 653, 654, 876, 256 is 379094396160.
2. How to calculate the LCM of 760, 653, 654, 876, 256?
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, 653, 654, 876, 256.
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}.