Find the LCM of 635, 294, 679, 562, 882 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 635, 294, 679, 562, 882. So, keep reading to learn more.
Given numbers are 635,294,679,562,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,294,679,562,882 is 15265827990.
Find LCM of 635,294,679,562,882 with Prime Factorization
2 | 635, 294, 679, 562, 882 |
3 | 635, 147, 679, 281, 441 |
7 | 635, 49, 679, 281, 147 |
7 | 635, 7, 97, 281, 21 |
635, 1, 97, 281, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 635 x 1 x 97 x 281 x 3 = 15265827990
Therefore, the lowest common multiple of 635,294,679,562,882 is 15265827990.
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.
635 x 294 x 679 x 562 x 882 = 62834148006840
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.
635 : 1, 5, 127, 635
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
679 : 1, 7, 97, 679
562 : 1, 2, 281, 562
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,294,679,562,882, is 1.
Now, the common factors can be found like this.
635:5x 127
294:2x 3x 7x 7
679:7x 97
562:2x 281
882:2x 3x 3x 7x 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 2x 3x 7x 7x 7 = 4116
Therefore, the value for common factors is 4116.
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 = 62834148006840/(1x4116)
LCM = 62834148006840/4116
LCM = 15265827990
Thus, we can understand that the LCM of 635,294,679,562,882 is 15265827990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 294, 679, 562, 882?
Answer: LCM of 635, 294, 679, 562, 882 is 15265827990.
2. How to calculate the LCM of 635, 294, 679, 562, 882?
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 635, 294, 679, 562, 882.
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}.