Find the LCM of 347, 776, 947, 274, 987 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 347, 776, 947, 274, 987. So, keep reading to learn more.
Given numbers are 347,776,947,274,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,776,947,274,987 is 34480923967896.
Find LCM of 347,776,947,274,987 with Prime Factorization
2 | 347, 776, 947, 274, 987 |
347, 388, 947, 137, 987 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 388 x 947 x 137 x 987 = 34480923967896
Therefore, the lowest common multiple of 347,776,947,274,987 is 34480923967896.
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.
347 x 776 x 947 x 274 x 987 = 68961847935792
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.
347 : 1, 347
776 : 1, 2, 4, 8, 97, 194, 388, 776
947 : 1, 947
274 : 1, 2, 137, 274
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,776,947,274,987, is 1.
Now, the common factors can be found like this.
347:347
776:2x 2x 2x 97
947:947
274:2x 137
987:3x 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.
2 = 2
Therefore, the value for common factors is 2.
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 = 68961847935792/(1x2)
LCM = 68961847935792/2
LCM = 34480923967896
Thus, we can understand that the LCM of 347,776,947,274,987 is 34480923967896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 776, 947, 274, 987?
Answer: LCM of 347, 776, 947, 274, 987 is 34480923967896.
2. How to calculate the LCM of 347, 776, 947, 274, 987?
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 347, 776, 947, 274, 987.
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}.