Find the LCM of 900, 414, 942, 927, 628 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 900, 414, 942, 927, 628. So, keep reading to learn more.
Given numbers are 900,414,942,927,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,414,942,927,628 is 334739700.
Find LCM of 900,414,942,927,628 with Prime Factorization
2 | 900, 414, 942, 927, 628 |
2 | 450, 207, 471, 927, 314 |
3 | 225, 207, 471, 927, 157 |
3 | 75, 69, 157, 309, 157 |
157 | 25, 23, 157, 103, 157 |
25, 23, 1, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 157 x 25 x 23 x 1 x 103 x 1 = 334739700
Therefore, the lowest common multiple of 900,414,942,927,628 is 334739700.
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.
900 x 414 x 942 x 927 x 628 = 204330468715200
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.
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
942 : 1, 2, 3, 6, 157, 314, 471, 942
927 : 1, 3, 9, 103, 309, 927
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,414,942,927,628, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
414:2x 3x 3x 23
942:2x 3x 157
927:3x 3x 103
628:2x 2x 157
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 3x 3x 3x 3x 157 = 610416
Therefore, the value for common factors is 610416.
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 = 204330468715200/(1x610416)
LCM = 204330468715200/610416
LCM = 334739700
Thus, we can understand that the LCM of 900,414,942,927,628 is 334739700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 414, 942, 927, 628?
Answer: LCM of 900, 414, 942, 927, 628 is 334739700.
2. How to calculate the LCM of 900, 414, 942, 927, 628?
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 900, 414, 942, 927, 628.
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}.