Find the LCM of 835, 635, 378, 552, 546 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 835, 635, 378, 552, 546. So, keep reading to learn more.
Given numbers are 835,635,378,552,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,635,378,552,546 is 47941671960.
Find LCM of 835,635,378,552,546 with Prime Factorization
2 | 835, 635, 378, 552, 546 |
3 | 835, 635, 189, 276, 273 |
5 | 835, 635, 63, 92, 91 |
7 | 167, 127, 63, 92, 91 |
167, 127, 9, 92, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 167 x 127 x 9 x 92 x 13 = 47941671960
Therefore, the lowest common multiple of 835,635,378,552,546 is 47941671960.
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.
835 x 635 x 378 x 552 x 546 = 60406506669600
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.
835 : 1, 5, 167, 835
635 : 1, 5, 127, 635
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,635,378,552,546, is 1.
Now, the common factors can be found like this.
835:5x 167
635:5x 127
378:2x 3x 3x 3x 7
552:2x 2x 2x 3x 23
546:2x 3x 7x 13
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 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 60406506669600/(1x1260)
LCM = 60406506669600/1260
LCM = 47941671960
Thus, we can understand that the LCM of 835,635,378,552,546 is 47941671960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 635, 378, 552, 546?
Answer: LCM of 835, 635, 378, 552, 546 is 47941671960.
2. How to calculate the LCM of 835, 635, 378, 552, 546?
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 835, 635, 378, 552, 546.
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}.