LCM of 978, 616, 139, 192, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 616, 139, 192, 278 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, 616, 139, 192, 278. So, keep reading to learn more.
Given numbers are 978,616,139,192,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,616,139,192,278 is 334961088.
Find LCM of 978,616,139,192,278 with Prime Factorization
| 2 | 978, 616, 139, 192, 278 |
| 2 | 489, 308, 139, 96, 139 |
| 2 | 489, 154, 139, 48, 139 |
| 3 | 489, 77, 139, 24, 139 |
| 139 | 163, 77, 139, 8, 139 |
| 163, 77, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 139 x 163 x 77 x 1 x 8 x 1 = 334961088
Therefore, the lowest common multiple of 978,616,139,192,278 is 334961088.
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 616 x 139 x 192 x 278 = 4469720758272
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
139 : 1, 139
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,616,139,192,278, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
616:2x 2x 2x 7x 11
139:139
192:2x 2x 2x 2x 2x 2x 3
278:2x 139
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 2x 3x 139 = 13344
Therefore, the value for common factors is 13344.
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 = 4469720758272/(1x13344)
LCM = 4469720758272/13344
LCM = 334961088
Thus, we can understand that the LCM of 978,616,139,192,278 is 334961088.
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FAQs on LCM of 978, 616, 139, 192, 278
1. What is the LCM of 978, 616, 139, 192, 278?
Answer: LCM of 978, 616, 139, 192, 278 is 334961088.
2. How to calculate the LCM of 978, 616, 139, 192, 278?
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, 616, 139, 192, 278.
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}.