Find the LCM of 277, 924, 363, 946, 188 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 277, 924, 363, 946, 188. So, keep reading to learn more.
Given numbers are 277,924,363,946,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,924,363,946,188 is 5689979988.
Find LCM of 277,924,363,946,188 with Prime Factorization
2 | 277, 924, 363, 946, 188 |
2 | 277, 462, 363, 473, 94 |
3 | 277, 231, 363, 473, 47 |
11 | 277, 77, 121, 473, 47 |
277, 7, 11, 43, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 277 x 7 x 11 x 43 x 47 = 5689979988
Therefore, the lowest common multiple of 277,924,363,946,188 is 5689979988.
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.
277 x 924 x 363 x 946 x 188 = 16523701885152
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.
277 : 1, 277
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
363 : 1, 3, 11, 33, 121, 363
946 : 1, 2, 11, 22, 43, 86, 473, 946
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,924,363,946,188, is 1.
Now, the common factors can be found like this.
277:277
924:2x 2x 3x 7x 11
363:3x 11x 11
946:2x 11x 43
188:2x 2x 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 2x 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 16523701885152/(1x2904)
LCM = 16523701885152/2904
LCM = 5689979988
Thus, we can understand that the LCM of 277,924,363,946,188 is 5689979988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 277, 924, 363, 946, 188?
Answer: LCM of 277, 924, 363, 946, 188 is 5689979988.
2. How to calculate the LCM of 277, 924, 363, 946, 188?
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 277, 924, 363, 946, 188.
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}.