Find the LCM of 843, 375, 319, 280, 182 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 843, 375, 319, 280, 182. So, keep reading to learn more.
Given numbers are 843,375,319,280,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,375,319,280,182 is 24471447000.
Find LCM of 843,375,319,280,182 with Prime Factorization
2 | 843, 375, 319, 280, 182 |
3 | 843, 375, 319, 140, 91 |
5 | 281, 125, 319, 140, 91 |
7 | 281, 25, 319, 28, 91 |
281, 25, 319, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 281 x 25 x 319 x 4 x 13 = 24471447000
Therefore, the lowest common multiple of 843,375,319,280,182 is 24471447000.
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.
843 x 375 x 319 x 280 x 182 = 5139003870000
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.
843 : 1, 3, 281, 843
375 : 1, 3, 5, 15, 25, 75, 125, 375
319 : 1, 11, 29, 319
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,375,319,280,182, is 1.
Now, the common factors can be found like this.
843:3x 281
375:3x 5x 5x 5
319:11x 29
280:2x 2x 2x 5x 7
182:2x 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 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 5139003870000/(1x210)
LCM = 5139003870000/210
LCM = 24471447000
Thus, we can understand that the LCM of 843,375,319,280,182 is 24471447000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 375, 319, 280, 182?
Answer: LCM of 843, 375, 319, 280, 182 is 24471447000.
2. How to calculate the LCM of 843, 375, 319, 280, 182?
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 843, 375, 319, 280, 182.
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}.