LCM of 674, 323, 728, 210, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 323, 728, 210, 730 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 674, 323, 728, 210, 730. So, keep reading to learn more.
Given numbers are 674,323,728,210,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,323,728,210,730 is 86771663160.
Find LCM of 674,323,728,210,730 with Prime Factorization
| 2 | 674, 323, 728, 210, 730 |
| 5 | 337, 323, 364, 105, 365 |
| 7 | 337, 323, 364, 21, 73 |
| 337, 323, 52, 3, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 337 x 323 x 52 x 3 x 73 = 86771663160
Therefore, the lowest common multiple of 674,323,728,210,730 is 86771663160.
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.
674 x 323 x 728 x 210 x 730 = 24296065684800
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.
674 : 1, 2, 337, 674
323 : 1, 17, 19, 323
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,323,728,210,730, is 1.
Now, the common factors can be found like this.
674:2x 337
323:17x 19
728:2x 2x 2x 7x 13
210:2x 3x 5x 7
730:2x 5x 73
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 24296065684800/(1x280)
LCM = 24296065684800/280
LCM = 86771663160
Thus, we can understand that the LCM of 674,323,728,210,730 is 86771663160.
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FAQs on LCM of 674, 323, 728, 210, 730
1. What is the LCM of 674, 323, 728, 210, 730?
Answer: LCM of 674, 323, 728, 210, 730 is 86771663160.
2. How to calculate the LCM of 674, 323, 728, 210, 730?
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 674, 323, 728, 210, 730.
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}.