Find the LCM of 705, 371, 371, 274, 663 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 705, 371, 371, 274, 663. So, keep reading to learn more.
Given numbers are 705,371,371,274,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,371,371,274,663 is 15838201470.
Find LCM of 705,371,371,274,663 with Prime Factorization
3 | 705, 371, 371, 274, 663 |
7 | 235, 371, 371, 274, 221 |
53 | 235, 53, 53, 274, 221 |
235, 1, 1, 274, 221 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 53 x 235 x 1 x 1 x 274 x 221 = 15838201470
Therefore, the lowest common multiple of 705,371,371,274,663 is 15838201470.
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.
705 x 371 x 371 x 274 x 663 = 17627918236110
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
371 : 1, 7, 53, 371
371 : 1, 7, 53, 371
274 : 1, 2, 137, 274
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,371,371,274,663, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
371:7x 53
371:7x 53
274:2x 137
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 53 = 1113
Therefore, the value for common factors is 1113.
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 = 17627918236110/(1x1113)
LCM = 17627918236110/1113
LCM = 15838201470
Thus, we can understand that the LCM of 705,371,371,274,663 is 15838201470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 371, 371, 274, 663?
Answer: LCM of 705, 371, 371, 274, 663 is 15838201470.
2. How to calculate the LCM of 705, 371, 371, 274, 663?
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 705, 371, 371, 274, 663.
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}.