LCM of 978, 147, 988, 339, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 147, 988, 339, 692 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 978, 147, 988, 339, 692. So, keep reading to learn more.
Given numbers are 978,147,988,339,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,147,988,339,692 is 462792625932.
Find LCM of 978,147,988,339,692 with Prime Factorization
| 2 | 978, 147, 988, 339, 692 |
| 2 | 489, 147, 494, 339, 346 |
| 3 | 489, 147, 247, 339, 173 |
| 163, 49, 247, 113, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 49 x 247 x 113 x 173 = 462792625932
Therefore, the lowest common multiple of 978,147,988,339,692 is 462792625932.
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.
978 x 147 x 988 x 339 x 692 = 33321069067104
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
147 : 1, 3, 7, 21, 49, 147
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
339 : 1, 3, 113, 339
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,147,988,339,692, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
147:3x 7x 7
988:2x 2x 13x 19
339:3x 113
692:2x 2x 173
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 = 33321069067104/(1x72)
LCM = 33321069067104/72
LCM = 462792625932
Thus, we can understand that the LCM of 978,147,988,339,692 is 462792625932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 147, 988, 339, 692
1. What is the LCM of 978, 147, 988, 339, 692?
Answer: LCM of 978, 147, 988, 339, 692 is 462792625932.
2. How to calculate the LCM of 978, 147, 988, 339, 692?
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 978, 147, 988, 339, 692.
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}.