LCM of 892, 108, 540, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 108, 540, 770 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 892, 108, 540, 770. So, keep reading to learn more.
Given numbers are 892,108,540,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,108,540,770 is 9272340.
Find LCM of 892,108,540,770 with Prime Factorization
| 2 | 892, 108, 540, 770 |
| 2 | 446, 54, 270, 385 |
| 3 | 223, 27, 135, 385 |
| 3 | 223, 9, 45, 385 |
| 3 | 223, 3, 15, 385 |
| 5 | 223, 1, 5, 385 |
| 223, 1, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 223 x 1 x 1 x 77 = 9272340
Therefore, the lowest common multiple of 892,108,540,770 is 9272340.
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.
892 x 108 x 540 x 770 = 40056508800
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.
892 : 1, 2, 4, 223, 446, 892
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,108,540,770, is 2.
Now, the common factors can be found like this.
892:2x 2x 223
108:2x 2x 3x 3x 3
540:2x 2x 3x 3x 3x 5
770:2x 5x 7x 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 2x 2x 2x 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 40056508800/(2x2160)
LCM = 40056508800/4320
LCM = 9272340
Thus, we can understand that the LCM of 892,108,540,770 is 9272340.
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FAQs on LCM of 892, 108, 540, 770
1. What is the LCM of 892, 108, 540, 770?
Answer: LCM of 892, 108, 540, 770 is 9272340.
2. How to calculate the LCM of 892, 108, 540, 770?
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 892, 108, 540, 770.
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}.