LCM of 276, 254, 657, 420, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 254, 657, 420, 508 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 276, 254, 657, 420, 508. So, keep reading to learn more.
Given numbers are 276,254,657,420,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,254,657,420,508 is 268673580.
Find LCM of 276,254,657,420,508 with Prime Factorization
| 2 | 276, 254, 657, 420, 508 |
| 2 | 138, 127, 657, 210, 254 |
| 3 | 69, 127, 657, 105, 127 |
| 127 | 23, 127, 219, 35, 127 |
| 23, 1, 219, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 23 x 1 x 219 x 35 x 1 = 268673580
Therefore, the lowest common multiple of 276,254,657,420,508 is 268673580.
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.
276 x 254 x 657 x 420 x 508 = 9827004862080
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
254 : 1, 2, 127, 254
657 : 1, 3, 9, 73, 219, 657
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,254,657,420,508, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
254:2x 127
657:3x 3x 73
420:2x 2x 3x 5x 7
508:2x 2x 127
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 2x 2x 3x 3x 127 = 36576
Therefore, the value for common factors is 36576.
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 = 9827004862080/(1x36576)
LCM = 9827004862080/36576
LCM = 268673580
Thus, we can understand that the LCM of 276,254,657,420,508 is 268673580.
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FAQs on LCM of 276, 254, 657, 420, 508
1. What is the LCM of 276, 254, 657, 420, 508?
Answer: LCM of 276, 254, 657, 420, 508 is 268673580.
2. How to calculate the LCM of 276, 254, 657, 420, 508?
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 276, 254, 657, 420, 508.
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}.