LCM of 272, 398, 690, 759, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 398, 690, 759, 727 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 272, 398, 690, 759, 727. So, keep reading to learn more.
Given numbers are 272,398,690,759,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,398,690,759,727 is 149337257520.
Find LCM of 272,398,690,759,727 with Prime Factorization
| 2 | 272, 398, 690, 759, 727 |
| 3 | 136, 199, 345, 759, 727 |
| 23 | 136, 199, 115, 253, 727 |
| 136, 199, 5, 11, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 136 x 199 x 5 x 11 x 727 = 149337257520
Therefore, the lowest common multiple of 272,398,690,759,727 is 149337257520.
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.
272 x 398 x 690 x 759 x 727 = 41217083075520
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
398 : 1, 2, 199, 398
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
759 : 1, 3, 11, 23, 33, 69, 253, 759
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,398,690,759,727, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
398:2x 199
690:2x 3x 5x 23
759:3x 11x 23
727:727
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 41217083075520/(1x276)
LCM = 41217083075520/276
LCM = 149337257520
Thus, we can understand that the LCM of 272,398,690,759,727 is 149337257520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 272, 398, 690, 759, 727
1. What is the LCM of 272, 398, 690, 759, 727?
Answer: LCM of 272, 398, 690, 759, 727 is 149337257520.
2. How to calculate the LCM of 272, 398, 690, 759, 727?
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 272, 398, 690, 759, 727.
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}.