LCM of 879, 155, 726, 765, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 155, 726, 765, 550 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 879, 155, 726, 765, 550. So, keep reading to learn more.
Given numbers are 879,155,726,765,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,155,726,765,550 is 8407678950.
Find LCM of 879,155,726,765,550 with Prime Factorization
| 2 | 879, 155, 726, 765, 550 |
| 3 | 879, 155, 363, 765, 275 |
| 5 | 293, 155, 121, 255, 275 |
| 11 | 293, 31, 121, 51, 55 |
| 293, 31, 11, 51, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 293 x 31 x 11 x 51 x 5 = 8407678950
Therefore, the lowest common multiple of 879,155,726,765,550 is 8407678950.
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.
879 x 155 x 726 x 765 x 550 = 41618010802500
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.
879 : 1, 3, 293, 879
155 : 1, 5, 31, 155
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,155,726,765,550, is 1.
Now, the common factors can be found like this.
879:3x 293
155:5x 31
726:2x 3x 11x 11
765:3x 3x 5x 17
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 11 = 4950
Therefore, the value for common factors is 4950.
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 = 41618010802500/(1x4950)
LCM = 41618010802500/4950
LCM = 8407678950
Thus, we can understand that the LCM of 879,155,726,765,550 is 8407678950.
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FAQs on LCM of 879, 155, 726, 765, 550
1. What is the LCM of 879, 155, 726, 765, 550?
Answer: LCM of 879, 155, 726, 765, 550 is 8407678950.
2. How to calculate the LCM of 879, 155, 726, 765, 550?
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 879, 155, 726, 765, 550.
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}.