LCM of 945, 225, 226, 436, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 225, 226, 436, 616 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 945, 225, 226, 436, 616. So, keep reading to learn more.
Given numbers are 945,225,226,436,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,225,226,436,616 is 5121408600.
Find LCM of 945,225,226,436,616 with Prime Factorization
| 2 | 945, 225, 226, 436, 616 |
| 2 | 945, 225, 113, 218, 308 |
| 3 | 945, 225, 113, 109, 154 |
| 3 | 315, 75, 113, 109, 154 |
| 5 | 105, 25, 113, 109, 154 |
| 7 | 21, 5, 113, 109, 154 |
| 3, 5, 113, 109, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 3 x 5 x 113 x 109 x 22 = 5121408600
Therefore, the lowest common multiple of 945,225,226,436,616 is 5121408600.
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.
945 x 225 x 226 x 436 x 616 = 12905949672000
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
226 : 1, 2, 113, 226
436 : 1, 2, 4, 109, 218, 436
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,225,226,436,616, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
225:3x 3x 5x 5
226:2x 113
436:2x 2x 109
616:2x 2x 2x 7x 11
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 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 12905949672000/(1x2520)
LCM = 12905949672000/2520
LCM = 5121408600
Thus, we can understand that the LCM of 945,225,226,436,616 is 5121408600.
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FAQs on LCM of 945, 225, 226, 436, 616
1. What is the LCM of 945, 225, 226, 436, 616?
Answer: LCM of 945, 225, 226, 436, 616 is 5121408600.
2. How to calculate the LCM of 945, 225, 226, 436, 616?
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 945, 225, 226, 436, 616.
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}.