LCM of 364, 293, 486, 343, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 293, 486, 343, 748 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 364, 293, 486, 343, 748. So, keep reading to learn more.
Given numbers are 364,293,486,343,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,293,486,343,748 is 237472303068.
Find LCM of 364,293,486,343,748 with Prime Factorization
| 2 | 364, 293, 486, 343, 748 |
| 2 | 182, 293, 243, 343, 374 |
| 7 | 91, 293, 243, 343, 187 |
| 13, 293, 243, 49, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 293 x 243 x 49 x 187 = 237472303068
Therefore, the lowest common multiple of 364,293,486,343,748 is 237472303068.
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.
364 x 293 x 486 x 343 x 748 = 13298448971808
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
293 : 1, 293
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
343 : 1, 7, 49, 343
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,293,486,343,748, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
293:293
486:2x 3x 3x 3x 3x 3
343:7x 7x 7
748:2x 2x 11x 17
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 7 = 56
Therefore, the value for common factors is 56.
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 = 13298448971808/(1x56)
LCM = 13298448971808/56
LCM = 237472303068
Thus, we can understand that the LCM of 364,293,486,343,748 is 237472303068.
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FAQs on LCM of 364, 293, 486, 343, 748
1. What is the LCM of 364, 293, 486, 343, 748?
Answer: LCM of 364, 293, 486, 343, 748 is 237472303068.
2. How to calculate the LCM of 364, 293, 486, 343, 748?
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 364, 293, 486, 343, 748.
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}.