LCM of 654, 239, 707, 408, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 239, 707, 408, 848 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 654, 239, 707, 408, 848. So, keep reading to learn more.
Given numbers are 654,239,707,408,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,239,707,408,848 is 796544129136.
Find LCM of 654,239,707,408,848 with Prime Factorization
| 2 | 654, 239, 707, 408, 848 |
| 2 | 327, 239, 707, 204, 424 |
| 2 | 327, 239, 707, 102, 212 |
| 3 | 327, 239, 707, 51, 106 |
| 109, 239, 707, 17, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 109 x 239 x 707 x 17 x 106 = 796544129136
Therefore, the lowest common multiple of 654,239,707,408,848 is 796544129136.
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.
654 x 239 x 707 x 408 x 848 = 38234118198528
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
239 : 1, 239
707 : 1, 7, 101, 707
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,239,707,408,848, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
239:239
707:7x 101
408:2x 2x 2x 3x 17
848:2x 2x 2x 2x 53
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 3 = 48
Therefore, the value for common factors is 48.
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 = 38234118198528/(1x48)
LCM = 38234118198528/48
LCM = 796544129136
Thus, we can understand that the LCM of 654,239,707,408,848 is 796544129136.
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FAQs on LCM of 654, 239, 707, 408, 848
1. What is the LCM of 654, 239, 707, 408, 848?
Answer: LCM of 654, 239, 707, 408, 848 is 796544129136.
2. How to calculate the LCM of 654, 239, 707, 408, 848?
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 654, 239, 707, 408, 848.
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}.