Find the LCM of 814, 217, 749, 578, 980 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 814, 217, 749, 578, 980. So, keep reading to learn more.
Given numbers are 814,217,749,578,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,217,749,578,980 is 382352381180.
Find LCM of 814,217,749,578,980 with Prime Factorization
2 | 814, 217, 749, 578, 980 |
7 | 407, 217, 749, 289, 490 |
407, 31, 107, 289, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 407 x 31 x 107 x 289 x 70 = 382352381180
Therefore, the lowest common multiple of 814,217,749,578,980 is 382352381180.
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.
814 x 217 x 749 x 578 x 980 = 74941066711280
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
217 : 1, 7, 31, 217
749 : 1, 7, 107, 749
578 : 1, 2, 17, 34, 289, 578
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,217,749,578,980, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
217:7x 31
749:7x 107
578:2x 17x 17
980:2x 2x 5x 7x 7
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 74941066711280/(1x196)
LCM = 74941066711280/196
LCM = 382352381180
Thus, we can understand that the LCM of 814,217,749,578,980 is 382352381180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 217, 749, 578, 980?
Answer: LCM of 814, 217, 749, 578, 980 is 382352381180.
2. How to calculate the LCM of 814, 217, 749, 578, 980?
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 814, 217, 749, 578, 980.
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}.