Find the LCM of 652, 918, 225, 612, 964 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 652, 918, 225, 612, 964. So, keep reading to learn more.
Given numbers are 652,918,225,612,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,918,225,612,964 is 1803089700.
Find LCM of 652,918,225,612,964 with Prime Factorization
2 | 652, 918, 225, 612, 964 |
2 | 326, 459, 225, 306, 482 |
3 | 163, 459, 225, 153, 241 |
3 | 163, 51, 75, 153, 241 |
17 | 163, 17, 25, 51, 241 |
163, 1, 25, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 163 x 1 x 25 x 3 x 241 = 1803089700
Therefore, the lowest common multiple of 652,918,225,612,964 is 1803089700.
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.
652 x 918 x 225 x 612 x 964 = 79451344540800
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.
652 : 1, 2, 4, 163, 326, 652
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,918,225,612,964, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
918:2x 3x 3x 3x 17
225:3x 3x 5x 5
612:2x 2x 3x 3x 17
964:2x 2x 241
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 3x 3x 3x 17 = 44064
Therefore, the value for common factors is 44064.
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 = 79451344540800/(1x44064)
LCM = 79451344540800/44064
LCM = 1803089700
Thus, we can understand that the LCM of 652,918,225,612,964 is 1803089700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 652, 918, 225, 612, 964?
Answer: LCM of 652, 918, 225, 612, 964 is 1803089700.
2. How to calculate the LCM of 652, 918, 225, 612, 964?
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 652, 918, 225, 612, 964.
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}.