LCM of 146, 572, 611, 627, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 572, 611, 627, 194 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 146, 572, 611, 627, 194. So, keep reading to learn more.
Given numbers are 146,572,611,627,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,572,611,627,194 is 10850839428.
Find LCM of 146,572,611,627,194 with Prime Factorization
| 2 | 146, 572, 611, 627, 194 |
| 11 | 73, 286, 611, 627, 97 |
| 13 | 73, 26, 611, 57, 97 |
| 73, 2, 47, 57, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 73 x 2 x 47 x 57 x 97 = 10850839428
Therefore, the lowest common multiple of 146,572,611,627,194 is 10850839428.
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.
146 x 572 x 611 x 627 x 194 = 6206680152816
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.
146 : 1, 2, 73, 146
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
611 : 1, 13, 47, 611
627 : 1, 3, 11, 19, 33, 57, 209, 627
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,572,611,627,194, is 1.
Now, the common factors can be found like this.
146:2x 73
572:2x 2x 11x 13
611:13x 47
627:3x 11x 19
194:2x 97
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 6206680152816/(1x572)
LCM = 6206680152816/572
LCM = 10850839428
Thus, we can understand that the LCM of 146,572,611,627,194 is 10850839428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 572, 611, 627, 194
1. What is the LCM of 146, 572, 611, 627, 194?
Answer: LCM of 146, 572, 611, 627, 194 is 10850839428.
2. How to calculate the LCM of 146, 572, 611, 627, 194?
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 146, 572, 611, 627, 194.
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}.