Find the LCM of 974, 959, 336, 634, 388 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 974, 959, 336, 634, 388. So, keep reading to learn more.
Given numbers are 974,959,336,634,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,959,336,634,388 is 689318290416.
Find LCM of 974,959,336,634,388 with Prime Factorization
2 | 974, 959, 336, 634, 388 |
2 | 487, 959, 168, 317, 194 |
7 | 487, 959, 84, 317, 97 |
487, 137, 12, 317, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 487 x 137 x 12 x 317 x 97 = 689318290416
Therefore, the lowest common multiple of 974,959,336,634,388 is 689318290416.
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.
974 x 959 x 336 x 634 x 388 = 77203648526592
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.
974 : 1, 2, 487, 974
959 : 1, 7, 137, 959
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
634 : 1, 2, 317, 634
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,959,336,634,388, is 1.
Now, the common factors can be found like this.
974:2x 487
959:7x 137
336:2x 2x 2x 2x 3x 7
634:2x 317
388:2x 2x 97
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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 77203648526592/(1x112)
LCM = 77203648526592/112
LCM = 689318290416
Thus, we can understand that the LCM of 974,959,336,634,388 is 689318290416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 959, 336, 634, 388?
Answer: LCM of 974, 959, 336, 634, 388 is 689318290416.
2. How to calculate the LCM of 974, 959, 336, 634, 388?
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 974, 959, 336, 634, 388.
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}.