Find the LCM of 778, 936, 196, 654, 218 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 778, 936, 196, 654, 218. So, keep reading to learn more.
Given numbers are 778,936,196,654,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,936,196,654,218 is 1944679464.
Find LCM of 778,936,196,654,218 with Prime Factorization
2 | 778, 936, 196, 654, 218 |
2 | 389, 468, 98, 327, 109 |
3 | 389, 234, 49, 327, 109 |
109 | 389, 78, 49, 109, 109 |
389, 78, 49, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 389 x 78 x 49 x 1 x 1 = 1944679464
Therefore, the lowest common multiple of 778,936,196,654,218 is 1944679464.
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.
778 x 936 x 196 x 654 x 218 = 20349125911296
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.
778 : 1, 2, 389, 778
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
654 : 1, 2, 3, 6, 109, 218, 327, 654
218 : 1, 2, 109, 218
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,936,196,654,218, is 2.
Now, the common factors can be found like this.
778:2x 389
936:2x 2x 2x 3x 3x 13
196:2x 2x 7x 7
654:2x 3x 109
218:2x 109
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 3x 109 = 5232
Therefore, the value for common factors is 5232.
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 = 20349125911296/(2x5232)
LCM = 20349125911296/10464
LCM = 1944679464
Thus, we can understand that the LCM of 778,936,196,654,218 is 1944679464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 778, 936, 196, 654, 218?
Answer: LCM of 778, 936, 196, 654, 218 is 1944679464.
2. How to calculate the LCM of 778, 936, 196, 654, 218?
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 778, 936, 196, 654, 218.
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}.