LCM of 676, 255, 696, 875, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 255, 696, 875, 840 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 676, 255, 696, 875, 840. So, keep reading to learn more.
Given numbers are 676,255,696,875,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,255,696,875,840 is 1749657000.
Find LCM of 676,255,696,875,840 with Prime Factorization
| 2 | 676, 255, 696, 875, 840 |
| 2 | 338, 255, 348, 875, 420 |
| 2 | 169, 255, 174, 875, 210 |
| 3 | 169, 255, 87, 875, 105 |
| 5 | 169, 85, 29, 875, 35 |
| 7 | 169, 17, 29, 175, 7 |
| 169, 17, 29, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 169 x 17 x 29 x 25 x 1 = 1749657000
Therefore, the lowest common multiple of 676,255,696,875,840 is 1749657000.
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.
676 x 255 x 696 x 875 x 840 = 88182712800000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
255 : 1, 3, 5, 15, 17, 51, 85, 255
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
875 : 1, 5, 7, 25, 35, 125, 175, 875
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,255,696,875,840, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
255:3x 5x 17
696:2x 2x 2x 3x 29
875:5x 5x 5x 7
840:2x 2x 2x 3x 5x 7
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 5x 5x 7 = 50400
Therefore, the value for common factors is 50400.
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 = 88182712800000/(1x50400)
LCM = 88182712800000/50400
LCM = 1749657000
Thus, we can understand that the LCM of 676,255,696,875,840 is 1749657000.
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FAQs on LCM of 676, 255, 696, 875, 840
1. What is the LCM of 676, 255, 696, 875, 840?
Answer: LCM of 676, 255, 696, 875, 840 is 1749657000.
2. How to calculate the LCM of 676, 255, 696, 875, 840?
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 676, 255, 696, 875, 840.
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}.