LCM of 770, 285, 741, 927, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 285, 741, 927, 546 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 770, 285, 741, 927, 546. So, keep reading to learn more.
Given numbers are 770,285,741,927,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,285,741,927,546 is 176306130.
Find LCM of 770,285,741,927,546 with Prime Factorization
| 2 | 770, 285, 741, 927, 546 |
| 3 | 385, 285, 741, 927, 273 |
| 5 | 385, 95, 247, 309, 91 |
| 7 | 77, 19, 247, 309, 91 |
| 13 | 11, 19, 247, 309, 13 |
| 19 | 11, 19, 19, 309, 1 |
| 11, 1, 1, 309, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 19 x 11 x 1 x 1 x 309 x 1 = 176306130
Therefore, the lowest common multiple of 770,285,741,927,546 is 176306130.
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.
770 x 285 x 741 x 927 x 546 = 82304990667900
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
285 : 1, 3, 5, 15, 19, 57, 95, 285
741 : 1, 3, 13, 19, 39, 57, 247, 741
927 : 1, 3, 9, 103, 309, 927
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,285,741,927,546, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
285:3x 5x 19
741:3x 13x 19
927:3x 3x 103
546:2x 3x 7x 13
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 7x 13x 19 = 466830
Therefore, the value for common factors is 466830.
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 = 82304990667900/(1x466830)
LCM = 82304990667900/466830
LCM = 176306130
Thus, we can understand that the LCM of 770,285,741,927,546 is 176306130.
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FAQs on LCM of 770, 285, 741, 927, 546
1. What is the LCM of 770, 285, 741, 927, 546?
Answer: LCM of 770, 285, 741, 927, 546 is 176306130.
2. How to calculate the LCM of 770, 285, 741, 927, 546?
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 770, 285, 741, 927, 546.
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}.