LCM of 689, 705, 724, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 705, 724, 724 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 689, 705, 724, 724. So, keep reading to learn more.
Given numbers are 689,705,724,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,705,724,724 is 351679380.
Find LCM of 689,705,724,724 with Prime Factorization
| 2 | 689, 705, 724, 724 |
| 2 | 689, 705, 362, 362 |
| 181 | 689, 705, 181, 181 |
| 689, 705, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 689 x 705 x 1 x 1 = 351679380
Therefore, the lowest common multiple of 689,705,724,724 is 351679380.
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.
689 x 705 x 724 x 724 = 254615871120
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.
689 : 1, 13, 53, 689
705 : 1, 3, 5, 15, 47, 141, 235, 705
724 : 1, 2, 4, 181, 362, 724
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,705,724,724, is 1.
Now, the common factors can be found like this.
689:13x 53
705:3x 5x 47
724:2x 2x 181
724:2x 2x 181
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 181 = 724
Therefore, the value for common factors is 724.
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 = 254615871120/(1x724)
LCM = 254615871120/724
LCM = 351679380
Thus, we can understand that the LCM of 689,705,724,724 is 351679380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 705, 724, 724
1. What is the LCM of 689, 705, 724, 724?
Answer: LCM of 689, 705, 724, 724 is 351679380.
2. How to calculate the LCM of 689, 705, 724, 724?
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 689, 705, 724, 724.
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}.