LCM of 627, 779, 186, 764, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 779, 186, 764, 892 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 627, 779, 186, 764, 892. So, keep reading to learn more.
Given numbers are 627,779,186,764,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,779,186,764,892 is 135772343124.
Find LCM of 627,779,186,764,892 with Prime Factorization
| 2 | 627, 779, 186, 764, 892 |
| 2 | 627, 779, 93, 382, 446 |
| 3 | 627, 779, 93, 191, 223 |
| 19 | 209, 779, 31, 191, 223 |
| 11, 41, 31, 191, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 11 x 41 x 31 x 191 x 223 = 135772343124
Therefore, the lowest common multiple of 627,779,186,764,892 is 135772343124.
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.
627 x 779 x 186 x 764 x 892 = 61912188464544
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
779 : 1, 19, 41, 779
186 : 1, 2, 3, 6, 31, 62, 93, 186
764 : 1, 2, 4, 191, 382, 764
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,779,186,764,892, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
779:19x 41
186:2x 3x 31
764:2x 2x 191
892:2x 2x 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 2x 2x 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 61912188464544/(1x456)
LCM = 61912188464544/456
LCM = 135772343124
Thus, we can understand that the LCM of 627,779,186,764,892 is 135772343124.
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FAQs on LCM of 627, 779, 186, 764, 892
1. What is the LCM of 627, 779, 186, 764, 892?
Answer: LCM of 627, 779, 186, 764, 892 is 135772343124.
2. How to calculate the LCM of 627, 779, 186, 764, 892?
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 627, 779, 186, 764, 892.
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}.