LCM of 754, 709, 598, 874, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 709, 598, 874, 898 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 754, 709, 598, 874, 898. So, keep reading to learn more.
Given numbers are 754,709,598,874,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,709,598,874,898 is 104892722818.
Find LCM of 754,709,598,874,898 with Prime Factorization
| 2 | 754, 709, 598, 874, 898 |
| 13 | 377, 709, 299, 437, 449 |
| 23 | 29, 709, 23, 437, 449 |
| 29, 709, 1, 19, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 29 x 709 x 1 x 19 x 449 = 104892722818
Therefore, the lowest common multiple of 754,709,598,874,898 is 104892722818.
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.
754 x 709 x 598 x 874 x 898 = 250903392980656
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
709 : 1, 709
598 : 1, 2, 13, 23, 26, 46, 299, 598
874 : 1, 2, 19, 23, 38, 46, 437, 874
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,709,598,874,898, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
709:709
598:2x 13x 23
874:2x 19x 23
898:2x 449
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 250903392980656/(1x2392)
LCM = 250903392980656/2392
LCM = 104892722818
Thus, we can understand that the LCM of 754,709,598,874,898 is 104892722818.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 709, 598, 874, 898
1. What is the LCM of 754, 709, 598, 874, 898?
Answer: LCM of 754, 709, 598, 874, 898 is 104892722818.
2. How to calculate the LCM of 754, 709, 598, 874, 898?
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 754, 709, 598, 874, 898.
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}.