Find the LCM of 549, 978, 611, 964, 658 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 549, 978, 611, 964, 658. So, keep reading to learn more.
Given numbers are 549,978,611,964,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,978,611,964,658 is 368957406636.
Find LCM of 549,978,611,964,658 with Prime Factorization
2 | 549, 978, 611, 964, 658 |
3 | 549, 489, 611, 482, 329 |
47 | 183, 163, 611, 482, 329 |
183, 163, 13, 482, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 183 x 163 x 13 x 482 x 7 = 368957406636
Therefore, the lowest common multiple of 549,978,611,964,658 is 368957406636.
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.
549 x 978 x 611 x 964 x 658 = 208091977342704
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.
549 : 1, 3, 9, 61, 183, 549
978 : 1, 2, 3, 6, 163, 326, 489, 978
611 : 1, 13, 47, 611
964 : 1, 2, 4, 241, 482, 964
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,978,611,964,658, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
978:2x 3x 163
611:13x 47
964:2x 2x 241
658:2x 7x 47
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 47 = 564
Therefore, the value for common factors is 564.
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 = 208091977342704/(1x564)
LCM = 208091977342704/564
LCM = 368957406636
Thus, we can understand that the LCM of 549,978,611,964,658 is 368957406636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 978, 611, 964, 658?
Answer: LCM of 549, 978, 611, 964, 658 is 368957406636.
2. How to calculate the LCM of 549, 978, 611, 964, 658?
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 549, 978, 611, 964, 658.
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}.