LCM of 373, 729, 243, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 729, 243, 420 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 373, 729, 243, 420. So, keep reading to learn more.
Given numbers are 373,729,243,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,729,243,420 is 38068380.
Find LCM of 373,729,243,420 with Prime Factorization
| 3 | 373, 729, 243, 420 |
| 3 | 373, 243, 81, 140 |
| 3 | 373, 27, 81, 140 |
| 3 | 373, 9, 27, 140 |
| 3 | 373, 3, 9, 140 |
| 373, 1, 3, 140 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 3 x 373 x 1 x 3 x 140 = 38068380
Therefore, the lowest common multiple of 373,729,243,420 is 38068380.
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.
373 x 729 x 243 x 420 = 27751849020
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.
373 : 1, 373
729 : 1, 3, 9, 27, 81, 243, 729
243 : 1, 3, 9, 27, 81, 243
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,729,243,420, is 1.
Now, the common factors can be found like this.
373:373
729:3x 3x 3x 3x 3x 3
243:3x 3x 3x 3x 3
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 27751849020/(1x729)
LCM = 27751849020/729
LCM = 38068380
Thus, we can understand that the LCM of 373,729,243,420 is 38068380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 729, 243, 420
1. What is the LCM of 373, 729, 243, 420?
Answer: LCM of 373, 729, 243, 420 is 38068380.
2. How to calculate the LCM of 373, 729, 243, 420?
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 373, 729, 243, 420.
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}.