LCM of 343, 723, 618, 684, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 723, 618, 684, 153 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 343, 723, 618, 684, 153. So, keep reading to learn more.
Given numbers are 343,723,618,684,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,723,618,684,153 is 99004152492.
Find LCM of 343,723,618,684,153 with Prime Factorization
| 2 | 343, 723, 618, 684, 153 |
| 3 | 343, 723, 309, 342, 153 |
| 3 | 343, 241, 103, 114, 51 |
| 343, 241, 103, 38, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 343 x 241 x 103 x 38 x 17 = 99004152492
Therefore, the lowest common multiple of 343,723,618,684,153 is 99004152492.
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.
343 x 723 x 618 x 684 x 153 = 16038672703704
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.
343 : 1, 7, 49, 343
723 : 1, 3, 241, 723
618 : 1, 2, 3, 6, 103, 206, 309, 618
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,723,618,684,153, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
723:3x 241
618:2x 3x 103
684:2x 2x 3x 3x 19
153:3x 3x 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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 16038672703704/(1x162)
LCM = 16038672703704/162
LCM = 99004152492
Thus, we can understand that the LCM of 343,723,618,684,153 is 99004152492.
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FAQs on LCM of 343, 723, 618, 684, 153
1. What is the LCM of 343, 723, 618, 684, 153?
Answer: LCM of 343, 723, 618, 684, 153 is 99004152492.
2. How to calculate the LCM of 343, 723, 618, 684, 153?
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 343, 723, 618, 684, 153.
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}.