LCM of 346, 420, 596, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 420, 596, 120 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 346, 420, 596, 120. So, keep reading to learn more.
Given numbers are 346,420,596,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,420,596,120 is 21652680.
Find LCM of 346,420,596,120 with Prime Factorization
| 2 | 346, 420, 596, 120 |
| 2 | 173, 210, 298, 60 |
| 3 | 173, 105, 149, 30 |
| 5 | 173, 35, 149, 10 |
| 173, 7, 149, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 173 x 7 x 149 x 2 = 21652680
Therefore, the lowest common multiple of 346,420,596,120 is 21652680.
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.
346 x 420 x 596 x 120 = 10393286400
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.
346 : 1, 2, 173, 346
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
596 : 1, 2, 4, 149, 298, 596
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,420,596,120, is 2.
Now, the common factors can be found like this.
346:2x 173
420:2x 2x 3x 5x 7
596:2x 2x 149
120:2x 2x 2x 3x 5
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 10393286400/(2x240)
LCM = 10393286400/480
LCM = 21652680
Thus, we can understand that the LCM of 346,420,596,120 is 21652680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 346, 420, 596, 120
1. What is the LCM of 346, 420, 596, 120?
Answer: LCM of 346, 420, 596, 120 is 21652680.
2. How to calculate the LCM of 346, 420, 596, 120?
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 346, 420, 596, 120.
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}.