Find the LCM of 532, 972, 858, 827, 603 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 532, 972, 858, 827, 603. So, keep reading to learn more.
Given numbers are 532,972,858,827,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,972,858,827,603 is 1024316705412.
Find LCM of 532,972,858,827,603 with Prime Factorization
2 | 532, 972, 858, 827, 603 |
2 | 266, 486, 429, 827, 603 |
3 | 133, 243, 429, 827, 603 |
3 | 133, 81, 143, 827, 201 |
133, 27, 143, 827, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 133 x 27 x 143 x 827 x 67 = 1024316705412
Therefore, the lowest common multiple of 532,972,858,827,603 is 1024316705412.
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.
532 x 972 x 858 x 827 x 603 = 221252408368992
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
827 : 1, 827
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,972,858,827,603, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
972:2x 2x 3x 3x 3x 3x 3
858:2x 3x 11x 13
827:827
603:3x 3x 67
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 221252408368992/(1x216)
LCM = 221252408368992/216
LCM = 1024316705412
Thus, we can understand that the LCM of 532,972,858,827,603 is 1024316705412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 972, 858, 827, 603?
Answer: LCM of 532, 972, 858, 827, 603 is 1024316705412.
2. How to calculate the LCM of 532, 972, 858, 827, 603?
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 532, 972, 858, 827, 603.
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}.