LCM of 785, 144, 342, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 144, 342, 361 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 785, 144, 342, 361. So, keep reading to learn more.
Given numbers are 785,144,342,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,144,342,361 is 40807440.
Find LCM of 785,144,342,361 with Prime Factorization
| 2 | 785, 144, 342, 361 |
| 3 | 785, 72, 171, 361 |
| 3 | 785, 24, 57, 361 |
| 19 | 785, 8, 19, 361 |
| 785, 8, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 785 x 8 x 1 x 19 = 40807440
Therefore, the lowest common multiple of 785,144,342,361 is 40807440.
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.
785 x 144 x 342 x 361 = 13956144480
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.
785 : 1, 5, 157, 785
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,144,342,361, is 1.
Now, the common factors can be found like this.
785:5x 157
144:2x 2x 2x 2x 3x 3
342:2x 3x 3x 19
361:19x 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 19 = 342
Therefore, the value for common factors is 342.
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 = 13956144480/(1x342)
LCM = 13956144480/342
LCM = 40807440
Thus, we can understand that the LCM of 785,144,342,361 is 40807440.
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FAQs on LCM of 785, 144, 342, 361
1. What is the LCM of 785, 144, 342, 361?
Answer: LCM of 785, 144, 342, 361 is 40807440.
2. How to calculate the LCM of 785, 144, 342, 361?
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 785, 144, 342, 361.
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}.