LCM of 723, 354, 842, 214, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 354, 842, 214, 131 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 723, 354, 842, 214, 131. So, keep reading to learn more.
Given numbers are 723,354,842,214,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,354,842,214,131 is 503451308298.
Find LCM of 723,354,842,214,131 with Prime Factorization
| 2 | 723, 354, 842, 214, 131 |
| 3 | 723, 177, 421, 107, 131 |
| 241, 59, 421, 107, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 59 x 421 x 107 x 131 = 503451308298
Therefore, the lowest common multiple of 723,354,842,214,131 is 503451308298.
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.
723 x 354 x 842 x 214 x 131 = 6041415699576
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.
723 : 1, 3, 241, 723
354 : 1, 2, 3, 6, 59, 118, 177, 354
842 : 1, 2, 421, 842
214 : 1, 2, 107, 214
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,354,842,214,131, is 1.
Now, the common factors can be found like this.
723:3x 241
354:2x 3x 59
842:2x 421
214:2x 107
131:131
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 3 = 12
Therefore, the value for common factors is 12.
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 = 6041415699576/(1x12)
LCM = 6041415699576/12
LCM = 503451308298
Thus, we can understand that the LCM of 723,354,842,214,131 is 503451308298.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 354, 842, 214, 131
1. What is the LCM of 723, 354, 842, 214, 131?
Answer: LCM of 723, 354, 842, 214, 131 is 503451308298.
2. How to calculate the LCM of 723, 354, 842, 214, 131?
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 723, 354, 842, 214, 131.
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}.