LCM of 916, 144, 262, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 144, 262, 900 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 916, 144, 262, 900. So, keep reading to learn more.
Given numbers are 916,144,262,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,144,262,900 is 107996400.
Find LCM of 916,144,262,900 with Prime Factorization
| 2 | 916, 144, 262, 900 |
| 2 | 458, 72, 131, 450 |
| 3 | 229, 36, 131, 225 |
| 3 | 229, 12, 131, 75 |
| 229, 4, 131, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 229 x 4 x 131 x 25 = 107996400
Therefore, the lowest common multiple of 916,144,262,900 is 107996400.
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.
916 x 144 x 262 x 900 = 31102963200
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.
916 : 1, 2, 4, 229, 458, 916
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
262 : 1, 2, 131, 262
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,144,262,900, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
144:2x 2x 2x 2x 3x 3
262:2x 131
900:2x 2x 3x 3x 5x 5
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 3 = 144
Therefore, the value for common factors is 144.
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 = 31102963200/(2x144)
LCM = 31102963200/288
LCM = 107996400
Thus, we can understand that the LCM of 916,144,262,900 is 107996400.
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FAQs on LCM of 916, 144, 262, 900
1. What is the LCM of 916, 144, 262, 900?
Answer: LCM of 916, 144, 262, 900 is 107996400.
2. How to calculate the LCM of 916, 144, 262, 900?
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 916, 144, 262, 900.
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}.