LCM of 719, 813, 542, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 813, 542, 226 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 719, 813, 542, 226. So, keep reading to learn more.
Given numbers are 719,813,542,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,813,542,226 is 132107622.
Find LCM of 719,813,542,226 with Prime Factorization
| 2 | 719, 813, 542, 226 |
| 271 | 719, 813, 271, 113 |
| 719, 3, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 719 x 3 x 1 x 113 = 132107622
Therefore, the lowest common multiple of 719,813,542,226 is 132107622.
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.
719 x 813 x 542 x 226 = 71602331124
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.
719 : 1, 719
813 : 1, 3, 271, 813
542 : 1, 2, 271, 542
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,813,542,226, is 1.
Now, the common factors can be found like this.
719:719
813:3x 271
542:2x 271
226:2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 271 = 542
Therefore, the value for common factors is 542.
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 = 71602331124/(1x542)
LCM = 71602331124/542
LCM = 132107622
Thus, we can understand that the LCM of 719,813,542,226 is 132107622.
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FAQs on LCM of 719, 813, 542, 226
1. What is the LCM of 719, 813, 542, 226?
Answer: LCM of 719, 813, 542, 226 is 132107622.
2. How to calculate the LCM of 719, 813, 542, 226?
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 719, 813, 542, 226.
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}.