LCM of 190, 209, 748, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 209, 748, 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 190, 209, 748, 342. So, keep reading to learn more.
Given numbers are 190,209,748,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,209,748,342 is 639540.
Find LCM of 190,209,748,342 with Prime Factorization
| 2 | 190, 209, 748, 342 |
| 11 | 95, 209, 374, 171 |
| 19 | 95, 19, 34, 171 |
| 5, 1, 34, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 5 x 1 x 34 x 9 = 639540
Therefore, the lowest common multiple of 190,209,748,342 is 639540.
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.
190 x 209 x 748 x 342 = 10158453360
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
209 : 1, 11, 19, 209
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 190,209,748,342, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
209:11x 19
748:2x 2x 11x 17
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 2x 11x 19x 19 = 15884
Therefore, the value for common factors is 15884.
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 = 10158453360/(1x15884)
LCM = 10158453360/15884
LCM = 639540
Thus, we can understand that the LCM of 190,209,748,342 is 639540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 190, 209, 748, 342
1. What is the LCM of 190, 209, 748, 342?
Answer: LCM of 190, 209, 748, 342 is 639540.
2. How to calculate the LCM of 190, 209, 748, 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 190, 209, 748, 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}.