LCM of 196, 779, 189, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 779, 189, 342 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 196, 779, 189, 342. So, keep reading to learn more.
Given numbers are 196,779,189,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,779,189,342 is 4122468.
Find LCM of 196,779,189,342 with Prime Factorization
| 2 | 196, 779, 189, 342 |
| 3 | 98, 779, 189, 171 |
| 3 | 98, 779, 63, 57 |
| 7 | 98, 779, 21, 19 |
| 19 | 14, 779, 3, 19 |
| 14, 41, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 19 x 14 x 41 x 3 x 1 = 4122468
Therefore, the lowest common multiple of 196,779,189,342 is 4122468.
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.
196 x 779 x 189 x 342 = 9869188392
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
779 : 1, 19, 41, 779
189 : 1, 3, 7, 9, 21, 27, 63, 189
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,779,189,342, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
779:19x 41
189:3x 3x 3x 7
342:2x 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 3x 3x 7x 19 = 2394
Therefore, the value for common factors is 2394.
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 = 9869188392/(1x2394)
LCM = 9869188392/2394
LCM = 4122468
Thus, we can understand that the LCM of 196,779,189,342 is 4122468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 196, 779, 189, 342
1. What is the LCM of 196, 779, 189, 342?
Answer: LCM of 196, 779, 189, 342 is 4122468.
2. How to calculate the LCM of 196, 779, 189, 342?
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 196, 779, 189, 342.
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}.