LCM of 898, 726, 612, 318, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 726, 612, 318, 694 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 898, 726, 612, 318, 694. So, keep reading to learn more.
Given numbers are 898,726,612,318,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,726,612,318,694 is 611488759068.
Find LCM of 898,726,612,318,694 with Prime Factorization
| 2 | 898, 726, 612, 318, 694 |
| 3 | 449, 363, 306, 159, 347 |
| 449, 121, 102, 53, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 449 x 121 x 102 x 53 x 347 = 611488759068
Therefore, the lowest common multiple of 898,726,612,318,694 is 611488759068.
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.
898 x 726 x 612 x 318 x 694 = 88054381305792
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.
898 : 1, 2, 449, 898
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
318 : 1, 2, 3, 6, 53, 106, 159, 318
694 : 1, 2, 347, 694
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,726,612,318,694, is 2.
Now, the common factors can be found like this.
898:2x 449
726:2x 3x 11x 11
612:2x 2x 3x 3x 17
318:2x 3x 53
694:2x 347
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 88054381305792/(2x72)
LCM = 88054381305792/144
LCM = 611488759068
Thus, we can understand that the LCM of 898,726,612,318,694 is 611488759068.
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FAQs on LCM of 898, 726, 612, 318, 694
1. What is the LCM of 898, 726, 612, 318, 694?
Answer: LCM of 898, 726, 612, 318, 694 is 611488759068.
2. How to calculate the LCM of 898, 726, 612, 318, 694?
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 898, 726, 612, 318, 694.
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}.