LCM of 765, 132, 578, 705, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 132, 578, 705, 669 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 765, 132, 578, 705, 669. So, keep reading to learn more.
Given numbers are 765,132,578,705,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,132,578,705,669 is 5997437820.
Find LCM of 765,132,578,705,669 with Prime Factorization
| 2 | 765, 132, 578, 705, 669 |
| 3 | 765, 66, 289, 705, 669 |
| 5 | 255, 22, 289, 235, 223 |
| 17 | 51, 22, 289, 47, 223 |
| 3, 22, 17, 47, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 3 x 22 x 17 x 47 x 223 = 5997437820
Therefore, the lowest common multiple of 765,132,578,705,669 is 5997437820.
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.
765 x 132 x 578 x 705 x 669 = 27528239593800
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
578 : 1, 2, 17, 34, 289, 578
705 : 1, 3, 5, 15, 47, 141, 235, 705
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,132,578,705,669, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
132:2x 2x 3x 11
578:2x 17x 17
705:3x 5x 47
669:3x 223
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 3x 5x 17 = 4590
Therefore, the value for common factors is 4590.
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 = 27528239593800/(1x4590)
LCM = 27528239593800/4590
LCM = 5997437820
Thus, we can understand that the LCM of 765,132,578,705,669 is 5997437820.
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FAQs on LCM of 765, 132, 578, 705, 669
1. What is the LCM of 765, 132, 578, 705, 669?
Answer: LCM of 765, 132, 578, 705, 669 is 5997437820.
2. How to calculate the LCM of 765, 132, 578, 705, 669?
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 765, 132, 578, 705, 669.
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}.