Find the LCM of 630, 781, 882, 362 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 630, 781, 882, 362. So, keep reading to learn more.
Given numbers are 630,781,882,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,781,882,362 is 623402010.
Find LCM of 630,781,882,362 with Prime Factorization
2 | 630, 781, 882, 362 |
3 | 315, 781, 441, 181 |
3 | 105, 781, 147, 181 |
7 | 35, 781, 49, 181 |
5, 781, 7, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 5 x 781 x 7 x 181 = 623402010
Therefore, the lowest common multiple of 630,781,882,362 is 623402010.
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.
630 x 781 x 882 x 362 = 157097306520
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
781 : 1, 11, 71, 781
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,781,882,362, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
781:11x 71
882:2x 3x 3x 7x 7
362:2x 181
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 157097306520/(1x252)
LCM = 157097306520/252
LCM = 623402010
Thus, we can understand that the LCM of 630,781,882,362 is 623402010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 781, 882, 362?
Answer: LCM of 630, 781, 882, 362 is 623402010.
2. How to calculate the LCM of 630, 781, 882, 362?
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 630, 781, 882, 362.
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}.