LCM of 606, 756, 892, 799, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 756, 892, 799, 765 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 606, 756, 892, 799, 765. So, keep reading to learn more.
Given numbers are 606,756,892,799,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,756,892,799,765 is 68024415060.
Find LCM of 606,756,892,799,765 with Prime Factorization
| 2 | 606, 756, 892, 799, 765 |
| 2 | 303, 378, 446, 799, 765 |
| 3 | 303, 189, 223, 799, 765 |
| 3 | 101, 63, 223, 799, 255 |
| 17 | 101, 21, 223, 799, 85 |
| 101, 21, 223, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 101 x 21 x 223 x 47 x 5 = 68024415060
Therefore, the lowest common multiple of 606,756,892,799,765 is 68024415060.
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.
606 x 756 x 892 x 799 x 765 = 249785652100320
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
892 : 1, 2, 4, 223, 446, 892
799 : 1, 17, 47, 799
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,756,892,799,765, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
756:2x 2x 3x 3x 3x 7
892:2x 2x 223
799:17x 47
765:3x 3x 5x 17
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 249785652100320/(1x3672)
LCM = 249785652100320/3672
LCM = 68024415060
Thus, we can understand that the LCM of 606,756,892,799,765 is 68024415060.
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FAQs on LCM of 606, 756, 892, 799, 765
1. What is the LCM of 606, 756, 892, 799, 765?
Answer: LCM of 606, 756, 892, 799, 765 is 68024415060.
2. How to calculate the LCM of 606, 756, 892, 799, 765?
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 606, 756, 892, 799, 765.
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}.