LCM of 867, 222, 735, 500, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 222, 735, 500, 635 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 867, 222, 735, 500, 635. So, keep reading to learn more.
Given numbers are 867,222,735,500,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,222,735,500,635 is 99813808500.
Find LCM of 867,222,735,500,635 with Prime Factorization
| 2 | 867, 222, 735, 500, 635 |
| 3 | 867, 111, 735, 250, 635 |
| 5 | 289, 37, 245, 250, 635 |
| 289, 37, 49, 50, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 289 x 37 x 49 x 50 x 127 = 99813808500
Therefore, the lowest common multiple of 867,222,735,500,635 is 99813808500.
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.
867 x 222 x 735 x 500 x 635 = 44916213825000
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.
867 : 1, 3, 17, 51, 289, 867
222 : 1, 2, 3, 6, 37, 74, 111, 222
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,222,735,500,635, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
222:2x 3x 37
735:3x 5x 7x 7
500:2x 2x 5x 5x 5
635:5x 127
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 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 44916213825000/(1x450)
LCM = 44916213825000/450
LCM = 99813808500
Thus, we can understand that the LCM of 867,222,735,500,635 is 99813808500.
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FAQs on LCM of 867, 222, 735, 500, 635
1. What is the LCM of 867, 222, 735, 500, 635?
Answer: LCM of 867, 222, 735, 500, 635 is 99813808500.
2. How to calculate the LCM of 867, 222, 735, 500, 635?
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 867, 222, 735, 500, 635.
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}.