Find the LCM of 628, 980, 737, 446, 196 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 628, 980, 737, 446, 196. So, keep reading to learn more.
Given numbers are 628,980,737,446,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,980,737,446,196 is 25287044860.
Find LCM of 628,980,737,446,196 with Prime Factorization
2 | 628, 980, 737, 446, 196 |
2 | 314, 490, 737, 223, 98 |
7 | 157, 245, 737, 223, 49 |
7 | 157, 35, 737, 223, 7 |
157, 5, 737, 223, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 157 x 5 x 737 x 223 x 1 = 25287044860
Therefore, the lowest common multiple of 628,980,737,446,196 is 25287044860.
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.
628 x 980 x 737 x 446 x 196 = 39650086340480
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.
628 : 1, 2, 4, 157, 314, 628
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
737 : 1, 11, 67, 737
446 : 1, 2, 223, 446
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,980,737,446,196, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
980:2x 2x 5x 7x 7
737:11x 67
446:2x 223
196:2x 2x 7x 7
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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 39650086340480/(1x1568)
LCM = 39650086340480/1568
LCM = 25287044860
Thus, we can understand that the LCM of 628,980,737,446,196 is 25287044860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 628, 980, 737, 446, 196?
Answer: LCM of 628, 980, 737, 446, 196 is 25287044860.
2. How to calculate the LCM of 628, 980, 737, 446, 196?
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 628, 980, 737, 446, 196.
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}.