LCM of 802, 267, 890, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 267, 890, 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 802, 267, 890, 892. So, keep reading to learn more.
Given numbers are 802,267,890,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,267,890,892 is 477518820.
Find LCM of 802,267,890,892 with Prime Factorization
| 2 | 802, 267, 890, 892 |
| 89 | 401, 267, 445, 446 |
| 401, 3, 5, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 401 x 3 x 5 x 446 = 477518820
Therefore, the lowest common multiple of 802,267,890,892 is 477518820.
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.
802 x 267 x 890 x 892 = 169996699920
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.
802 : 1, 2, 401, 802
267 : 1, 3, 89, 267
890 : 1, 2, 5, 10, 89, 178, 445, 890
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 802,267,890,892, is 1.
Now, the common factors can be found like this.
802:2x 401
267:3x 89
890:2x 5x 89
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 89 = 356
Therefore, the value for common factors is 356.
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 = 169996699920/(1x356)
LCM = 169996699920/356
LCM = 477518820
Thus, we can understand that the LCM of 802,267,890,892 is 477518820.
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FAQs on LCM of 802, 267, 890, 892
1. What is the LCM of 802, 267, 890, 892?
Answer: LCM of 802, 267, 890, 892 is 477518820.
2. How to calculate the LCM of 802, 267, 890, 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 802, 267, 890, 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}.