Find the LCM of 377, 804, 708, 556, 684 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 377, 804, 708, 556, 684. So, keep reading to learn more.
Given numbers are 377,804,708,556,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,804,708,556,684 is 141689956356.
Find LCM of 377,804,708,556,684 with Prime Factorization
2 | 377, 804, 708, 556, 684 |
2 | 377, 402, 354, 278, 342 |
3 | 377, 201, 177, 139, 171 |
377, 67, 59, 139, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 377 x 67 x 59 x 139 x 57 = 141689956356
Therefore, the lowest common multiple of 377,804,708,556,684 is 141689956356.
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.
377 x 804 x 708 x 556 x 684 = 81613414861056
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.
377 : 1, 13, 29, 377
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
556 : 1, 2, 4, 139, 278, 556
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,804,708,556,684, is 1.
Now, the common factors can be found like this.
377:13x 29
804:2x 2x 3x 67
708:2x 2x 3x 59
556:2x 2x 139
684:2x 2x 3x 3x 19
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 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 81613414861056/(1x576)
LCM = 81613414861056/576
LCM = 141689956356
Thus, we can understand that the LCM of 377,804,708,556,684 is 141689956356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 804, 708, 556, 684?
Answer: LCM of 377, 804, 708, 556, 684 is 141689956356.
2. How to calculate the LCM of 377, 804, 708, 556, 684?
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 377, 804, 708, 556, 684.
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}.