LCM of 139, 832, 966, 309, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 832, 966, 309, 564 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 139, 832, 966, 309, 564. So, keep reading to learn more.
Given numbers are 139,832,966,309,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,832,966,309,564 is 270408500544.
Find LCM of 139,832,966,309,564 with Prime Factorization
| 2 | 139, 832, 966, 309, 564 |
| 2 | 139, 416, 483, 309, 282 |
| 3 | 139, 208, 483, 309, 141 |
| 139, 208, 161, 103, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 208 x 161 x 103 x 47 = 270408500544
Therefore, the lowest common multiple of 139,832,966,309,564 is 270408500544.
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.
139 x 832 x 966 x 309 x 564 = 19469412039168
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.
139 : 1, 139
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
309 : 1, 3, 103, 309
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,832,966,309,564, is 1.
Now, the common factors can be found like this.
139:139
832:2x 2x 2x 2x 2x 2x 13
966:2x 3x 7x 23
309:3x 103
564:2x 2x 3x 47
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 19469412039168/(1x72)
LCM = 19469412039168/72
LCM = 270408500544
Thus, we can understand that the LCM of 139,832,966,309,564 is 270408500544.
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FAQs on LCM of 139, 832, 966, 309, 564
1. What is the LCM of 139, 832, 966, 309, 564?
Answer: LCM of 139, 832, 966, 309, 564 is 270408500544.
2. How to calculate the LCM of 139, 832, 966, 309, 564?
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 139, 832, 966, 309, 564.
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}.