LCM of 758, 379, 386, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 379, 386, 546 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 758, 379, 386, 546. So, keep reading to learn more.
Given numbers are 758,379,386,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,379,386,546 is 39938262.
Find LCM of 758,379,386,546 with Prime Factorization
| 2 | 758, 379, 386, 546 |
| 379 | 379, 379, 193, 273 |
| 1, 1, 193, 273 |
Multiply the prime numbers at the bottom and the left side.
2 x 379 x 1 x 1 x 193 x 273 = 39938262
Therefore, the lowest common multiple of 758,379,386,546 is 39938262.
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.
758 x 379 x 386 x 546 = 60546405192
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.
758 : 1, 2, 379, 758
379 : 1, 379
386 : 1, 2, 193, 386
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,379,386,546, is 1.
Now, the common factors can be found like this.
758:2x 379
379:379
386:2x 193
546:2x 3x 7x 13
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 379 = 1516
Therefore, the value for common factors is 1516.
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 = 60546405192/(1x1516)
LCM = 60546405192/1516
LCM = 39938262
Thus, we can understand that the LCM of 758,379,386,546 is 39938262.
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FAQs on LCM of 758, 379, 386, 546
1. What is the LCM of 758, 379, 386, 546?
Answer: LCM of 758, 379, 386, 546 is 39938262.
2. How to calculate the LCM of 758, 379, 386, 546?
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 758, 379, 386, 546.
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}.