LCM of 779, 978, 943, 598, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 978, 943, 598, 760 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 779, 978, 943, 598, 760. So, keep reading to learn more.
Given numbers are 779,978,943,598,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,978,943,598,760 is 4555934760.
Find LCM of 779,978,943,598,760 with Prime Factorization
| 2 | 779, 978, 943, 598, 760 |
| 19 | 779, 489, 943, 299, 380 |
| 23 | 41, 489, 943, 299, 20 |
| 41 | 41, 489, 41, 13, 20 |
| 1, 489, 1, 13, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 41 x 1 x 489 x 1 x 13 x 20 = 4555934760
Therefore, the lowest common multiple of 779,978,943,598,760 is 4555934760.
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.
779 x 978 x 943 x 598 x 760 = 326514732379680
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.
779 : 1, 19, 41, 779
978 : 1, 2, 3, 6, 163, 326, 489, 978
943 : 1, 23, 41, 943
598 : 1, 2, 13, 23, 26, 46, 299, 598
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,978,943,598,760, is 1.
Now, the common factors can be found like this.
779:19x 41
978:2x 3x 163
943:23x 41
598:2x 13x 23
760:2x 2x 2x 5x 19
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 19x 23x 41 = 71668
Therefore, the value for common factors is 71668.
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 = 326514732379680/(1x71668)
LCM = 326514732379680/71668
LCM = 4555934760
Thus, we can understand that the LCM of 779,978,943,598,760 is 4555934760.
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FAQs on LCM of 779, 978, 943, 598, 760
1. What is the LCM of 779, 978, 943, 598, 760?
Answer: LCM of 779, 978, 943, 598, 760 is 4555934760.
2. How to calculate the LCM of 779, 978, 943, 598, 760?
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 779, 978, 943, 598, 760.
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}.