LCM of 553, 231, 312, 706, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 231, 312, 706, 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 553, 231, 312, 706, 848. So, keep reading to learn more.
Given numbers are 553,231,312,706,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,231,312,706,848 is 71015472528.
Find LCM of 553,231,312,706,848 with Prime Factorization
| 2 | 553, 231, 312, 706, 848 |
| 2 | 553, 231, 156, 353, 424 |
| 2 | 553, 231, 78, 353, 212 |
| 3 | 553, 231, 39, 353, 106 |
| 7 | 553, 77, 13, 353, 106 |
| 79, 11, 13, 353, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 79 x 11 x 13 x 353 x 106 = 71015472528
Therefore, the lowest common multiple of 553,231,312,706,848 is 71015472528.
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.
553 x 231 x 312 x 706 x 848 = 23861198769408
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.
553 : 1, 7, 79, 553
231 : 1, 3, 7, 11, 21, 33, 77, 231
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
706 : 1, 2, 353, 706
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 553,231,312,706,848, is 1.
Now, the common factors can be found like this.
553:7x 79
231:3x 7x 11
312:2x 2x 2x 3x 13
706:2x 353
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 23861198769408/(1x336)
LCM = 23861198769408/336
LCM = 71015472528
Thus, we can understand that the LCM of 553,231,312,706,848 is 71015472528.
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FAQs on LCM of 553, 231, 312, 706, 848
1. What is the LCM of 553, 231, 312, 706, 848?
Answer: LCM of 553, 231, 312, 706, 848 is 71015472528.
2. How to calculate the LCM of 553, 231, 312, 706, 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 553, 231, 312, 706, 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}.