LCM of 636, 764, 150, 892, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 764, 150, 892, 223 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 636, 764, 150, 892, 223. So, keep reading to learn more.
Given numbers are 636,764,150,892,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,764,150,892,223 is 677228700.
Find LCM of 636,764,150,892,223 with Prime Factorization
| 2 | 636, 764, 150, 892, 223 |
| 2 | 318, 382, 75, 446, 223 |
| 3 | 159, 191, 75, 223, 223 |
| 223 | 53, 191, 25, 223, 223 |
| 53, 191, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 223 x 53 x 191 x 25 x 1 x 1 = 677228700
Therefore, the lowest common multiple of 636,764,150,892,223 is 677228700.
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.
636 x 764 x 150 x 892 x 223 = 14498112009600
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
764 : 1, 2, 4, 191, 382, 764
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
892 : 1, 2, 4, 223, 446, 892
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,764,150,892,223, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
764:2x 2x 191
150:2x 3x 5x 5
892:2x 2x 223
223:223
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 2x 2x 3x 223 = 21408
Therefore, the value for common factors is 21408.
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 = 14498112009600/(1x21408)
LCM = 14498112009600/21408
LCM = 677228700
Thus, we can understand that the LCM of 636,764,150,892,223 is 677228700.
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FAQs on LCM of 636, 764, 150, 892, 223
1. What is the LCM of 636, 764, 150, 892, 223?
Answer: LCM of 636, 764, 150, 892, 223 is 677228700.
2. How to calculate the LCM of 636, 764, 150, 892, 223?
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 636, 764, 150, 892, 223.
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}.