LCM of 379, 972, 728, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 972, 728, 506 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 379, 972, 728, 506. So, keep reading to learn more.
Given numbers are 379,972,728,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,972,728,506 is 16962793848.
Find LCM of 379,972,728,506 with Prime Factorization
| 2 | 379, 972, 728, 506 |
| 2 | 379, 486, 364, 253 |
| 379, 243, 182, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 379 x 243 x 182 x 253 = 16962793848
Therefore, the lowest common multiple of 379,972,728,506 is 16962793848.
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.
379 x 972 x 728 x 506 = 135702350784
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.
379 : 1, 379
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,972,728,506, is 1.
Now, the common factors can be found like this.
379:379
972:2x 2x 3x 3x 3x 3x 3
728:2x 2x 2x 7x 13
506:2x 11x 23
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 2 = 8
Therefore, the value for common factors is 8.
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 = 135702350784/(1x8)
LCM = 135702350784/8
LCM = 16962793848
Thus, we can understand that the LCM of 379,972,728,506 is 16962793848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 972, 728, 506
1. What is the LCM of 379, 972, 728, 506?
Answer: LCM of 379, 972, 728, 506 is 16962793848.
2. How to calculate the LCM of 379, 972, 728, 506?
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 379, 972, 728, 506.
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}.