LCM of 343, 330, 803, 902, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 330, 803, 902, 537 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, 330, 803, 902, 537. So, keep reading to learn more.
Given numbers are 343,330,803,902,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,330,803,902,537 is 60641202930.
Find LCM of 343,330,803,902,537 with Prime Factorization
| 2 | 343, 330, 803, 902, 537 |
| 3 | 343, 165, 803, 451, 537 |
| 11 | 343, 55, 803, 451, 179 |
| 343, 5, 73, 41, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 343 x 5 x 73 x 41 x 179 = 60641202930
Therefore, the lowest common multiple of 343,330,803,902,537 is 60641202930.
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 330 x 803 x 902 x 537 = 44025513327180
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
803 : 1, 11, 73, 803
902 : 1, 2, 11, 22, 41, 82, 451, 902
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,330,803,902,537, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
330:2x 3x 5x 11
803:11x 73
902:2x 11x 41
537:3x 179
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 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 44025513327180/(1x726)
LCM = 44025513327180/726
LCM = 60641202930
Thus, we can understand that the LCM of 343,330,803,902,537 is 60641202930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 330, 803, 902, 537
1. What is the LCM of 343, 330, 803, 902, 537?
Answer: LCM of 343, 330, 803, 902, 537 is 60641202930.
2. How to calculate the LCM of 343, 330, 803, 902, 537?
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, 330, 803, 902, 537.
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}.