Find the LCM of 540, 688, 615, 903 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 540, 688, 615, 903. So, keep reading to learn more.
Given numbers are 540,688,615,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,688,615,903 is 26656560.
Find LCM of 540,688,615,903 with Prime Factorization
2 | 540, 688, 615, 903 |
2 | 270, 344, 615, 903 |
3 | 135, 172, 615, 903 |
5 | 45, 172, 205, 301 |
43 | 9, 172, 41, 301 |
9, 4, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 9 x 4 x 41 x 7 = 26656560
Therefore, the lowest common multiple of 540,688,615,903 is 26656560.
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.
540 x 688 x 615 x 903 = 206321774400
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
615 : 1, 3, 5, 15, 41, 123, 205, 615
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,688,615,903, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
688:2x 2x 2x 2x 43
615:3x 5x 41
903:3x 7x 43
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 43 = 7740
Therefore, the value for common factors is 7740.
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 = 206321774400/(1x7740)
LCM = 206321774400/7740
LCM = 26656560
Thus, we can understand that the LCM of 540,688,615,903 is 26656560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 540, 688, 615, 903?
Answer: LCM of 540, 688, 615, 903 is 26656560.
2. How to calculate the LCM of 540, 688, 615, 903?
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 540, 688, 615, 903.
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}.