Find the LCM of 843, 219, 970, 652, 486 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, 219, 970, 652, 486. So, keep reading to learn more.
Given numbers are 843,219,970,652,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,219,970,652,486 is 1576248868980.
Find LCM of 843,219,970,652,486 with Prime Factorization
2 | 843, 219, 970, 652, 486 |
3 | 843, 219, 485, 326, 243 |
281, 73, 485, 326, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 281 x 73 x 485 x 326 x 81 = 1576248868980
Therefore, the lowest common multiple of 843,219,970,652,486 is 1576248868980.
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 219 x 970 x 652 x 486 = 56744959283280
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
219 : 1, 3, 73, 219
970 : 1, 2, 5, 10, 97, 194, 485, 970
652 : 1, 2, 4, 163, 326, 652
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,219,970,652,486, is 1.
Now, the common factors can be found like this.
843:3x 281
219:3x 73
970:2x 5x 97
652:2x 2x 163
486:2x 3x 3x 3x 3x 3
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 3 = 36
Therefore, the value for common factors is 36.
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 = 56744959283280/(1x36)
LCM = 56744959283280/36
LCM = 1576248868980
Thus, we can understand that the LCM of 843,219,970,652,486 is 1576248868980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 219, 970, 652, 486?
Answer: LCM of 843, 219, 970, 652, 486 is 1576248868980.
2. How to calculate the LCM of 843, 219, 970, 652, 486?
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, 219, 970, 652, 486.
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}.