LCM of 272, 782, 978, 147, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 782, 978, 147, 322 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 272, 782, 978, 147, 322. So, keep reading to learn more.
Given numbers are 272,782,978,147,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,782,978,147,322 is 149900016.
Find LCM of 272,782,978,147,322 with Prime Factorization
| 2 | 272, 782, 978, 147, 322 |
| 3 | 136, 391, 489, 147, 161 |
| 7 | 136, 391, 163, 49, 161 |
| 17 | 136, 391, 163, 7, 23 |
| 23 | 8, 23, 163, 7, 23 |
| 8, 1, 163, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 23 x 8 x 1 x 163 x 7 x 1 = 149900016
Therefore, the lowest common multiple of 272,782,978,147,322 is 149900016.
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.
272 x 782 x 978 x 147 x 322 = 9846632251008
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
782 : 1, 2, 17, 23, 34, 46, 391, 782
978 : 1, 2, 3, 6, 163, 326, 489, 978
147 : 1, 3, 7, 21, 49, 147
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,782,978,147,322, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
782:2x 17x 23
978:2x 3x 163
147:3x 7x 7
322:2x 7x 23
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 7x 17x 23 = 65688
Therefore, the value for common factors is 65688.
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 = 9846632251008/(1x65688)
LCM = 9846632251008/65688
LCM = 149900016
Thus, we can understand that the LCM of 272,782,978,147,322 is 149900016.
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FAQs on LCM of 272, 782, 978, 147, 322
1. What is the LCM of 272, 782, 978, 147, 322?
Answer: LCM of 272, 782, 978, 147, 322 is 149900016.
2. How to calculate the LCM of 272, 782, 978, 147, 322?
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 272, 782, 978, 147, 322.
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}.