LCM of 722, 869, 209, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 869, 209, 523 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 722, 869, 209, 523. So, keep reading to learn more.
Given numbers are 722,869,209,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,869,209,523 is 328139614.
Find LCM of 722,869,209,523 with Prime Factorization
| 11 | 722, 869, 209, 523 |
| 19 | 722, 79, 19, 523 |
| 38, 79, 1, 523 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 38 x 79 x 1 x 523 = 328139614
Therefore, the lowest common multiple of 722,869,209,523 is 328139614.
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.
722 x 869 x 209 x 523 = 68581179326
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.
722 : 1, 2, 19, 38, 361, 722
869 : 1, 11, 79, 869
209 : 1, 11, 19, 209
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,869,209,523, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
869:11x 79
209:11x 19
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 68581179326/(1x209)
LCM = 68581179326/209
LCM = 328139614
Thus, we can understand that the LCM of 722,869,209,523 is 328139614.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 869, 209, 523
1. What is the LCM of 722, 869, 209, 523?
Answer: LCM of 722, 869, 209, 523 is 328139614.
2. How to calculate the LCM of 722, 869, 209, 523?
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 722, 869, 209, 523.
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}.