Find the LCM of 736, 469, 967, 825, 210 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 736, 469, 967, 825, 210. So, keep reading to learn more.
Given numbers are 736,469,967,825,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,469,967,825,210 is 275379165600.
Find LCM of 736,469,967,825,210 with Prime Factorization
2 | 736, 469, 967, 825, 210 |
3 | 368, 469, 967, 825, 105 |
5 | 368, 469, 967, 275, 35 |
7 | 368, 469, 967, 55, 7 |
368, 67, 967, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 368 x 67 x 967 x 55 x 1 = 275379165600
Therefore, the lowest common multiple of 736,469,967,825,210 is 275379165600.
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.
736 x 469 x 967 x 825 x 210 = 57829624776000
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
469 : 1, 7, 67, 469
967 : 1, 967
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,469,967,825,210, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
469:7x 67
967:967
825:3x 5x 5x 11
210:2x 3x 5x 7
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 57829624776000/(1x210)
LCM = 57829624776000/210
LCM = 275379165600
Thus, we can understand that the LCM of 736,469,967,825,210 is 275379165600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 469, 967, 825, 210?
Answer: LCM of 736, 469, 967, 825, 210 is 275379165600.
2. How to calculate the LCM of 736, 469, 967, 825, 210?
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 736, 469, 967, 825, 210.
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}.