Find the LCM of 293, 931, 590, 531, 104 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 293, 931, 590, 531, 104. So, keep reading to learn more.
Given numbers are 293,931,590,531,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,931,590,531,104 is 75320841960.
Find LCM of 293,931,590,531,104 with Prime Factorization
2 | 293, 931, 590, 531, 104 |
59 | 293, 931, 295, 531, 52 |
293, 931, 5, 9, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 293 x 931 x 5 x 9 x 52 = 75320841960
Therefore, the lowest common multiple of 293,931,590,531,104 is 75320841960.
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.
293 x 931 x 590 x 531 x 104 = 8887859351280
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.
293 : 1, 293
931 : 1, 7, 19, 49, 133, 931
590 : 1, 2, 5, 10, 59, 118, 295, 590
531 : 1, 3, 9, 59, 177, 531
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,931,590,531,104, is 1.
Now, the common factors can be found like this.
293:293
931:7x 7x 19
590:2x 5x 59
531:3x 3x 59
104:2x 2x 2x 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 59 = 118
Therefore, the value for common factors is 118.
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 = 8887859351280/(1x118)
LCM = 8887859351280/118
LCM = 75320841960
Thus, we can understand that the LCM of 293,931,590,531,104 is 75320841960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 293, 931, 590, 531, 104?
Answer: LCM of 293, 931, 590, 531, 104 is 75320841960.
2. How to calculate the LCM of 293, 931, 590, 531, 104?
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 293, 931, 590, 531, 104.
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}.