Find the LCM of 358, 255, 668, 969, 550 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 358, 255, 668, 969, 550. So, keep reading to learn more.
Given numbers are 358,255,668,969,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,255,668,969,550 is 31862948700.
Find LCM of 358,255,668,969,550 with Prime Factorization
2 | 358, 255, 668, 969, 550 |
3 | 179, 255, 334, 969, 275 |
5 | 179, 85, 334, 323, 275 |
17 | 179, 17, 334, 323, 55 |
179, 1, 334, 19, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 179 x 1 x 334 x 19 x 55 = 31862948700
Therefore, the lowest common multiple of 358,255,668,969,550 is 31862948700.
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.
358 x 255 x 668 x 969 x 550 = 32500207674000
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.
358 : 1, 2, 179, 358
255 : 1, 3, 5, 15, 17, 51, 85, 255
668 : 1, 2, 4, 167, 334, 668
969 : 1, 3, 17, 19, 51, 57, 323, 969
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,255,668,969,550, is 1.
Now, the common factors can be found like this.
358:2x 179
255:3x 5x 17
668:2x 2x 167
969:3x 17x 19
550:2x 5x 5x 11
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 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 32500207674000/(1x1020)
LCM = 32500207674000/1020
LCM = 31862948700
Thus, we can understand that the LCM of 358,255,668,969,550 is 31862948700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 255, 668, 969, 550?
Answer: LCM of 358, 255, 668, 969, 550 is 31862948700.
2. How to calculate the LCM of 358, 255, 668, 969, 550?
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 358, 255, 668, 969, 550.
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}.