LCM of 978, 142, 616, 614, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 142, 616, 614, 868 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, 142, 616, 614, 868. So, keep reading to learn more.
Given numbers are 978,142,616,614,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,142,616,614,868 is 203539165368.
Find LCM of 978,142,616,614,868 with Prime Factorization
| 2 | 978, 142, 616, 614, 868 |
| 2 | 489, 71, 308, 307, 434 |
| 7 | 489, 71, 154, 307, 217 |
| 489, 71, 22, 307, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 489 x 71 x 22 x 307 x 31 = 203539165368
Therefore, the lowest common multiple of 978,142,616,614,868 is 203539165368.
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 142 x 616 x 614 x 868 = 45592773042432
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
142 : 1, 2, 71, 142
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
614 : 1, 2, 307, 614
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,142,616,614,868, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
142:2x 71
616:2x 2x 2x 7x 11
614:2x 307
868:2x 2x 7x 31
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 7 = 112
Therefore, the value for common factors is 112.
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 = 45592773042432/(2x112)
LCM = 45592773042432/224
LCM = 203539165368
Thus, we can understand that the LCM of 978,142,616,614,868 is 203539165368.
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FAQs on LCM of 978, 142, 616, 614, 868
1. What is the LCM of 978, 142, 616, 614, 868?
Answer: LCM of 978, 142, 616, 614, 868 is 203539165368.
2. How to calculate the LCM of 978, 142, 616, 614, 868?
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, 142, 616, 614, 868.
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}.