LCM of 685, 910, 756, 630, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 910, 756, 630, 247 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 685, 910, 756, 630, 247. So, keep reading to learn more.
Given numbers are 685,910,756,630,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,910,756,630,247 is 127911420.
Find LCM of 685,910,756,630,247 with Prime Factorization
| 2 | 685, 910, 756, 630, 247 |
| 3 | 685, 455, 378, 315, 247 |
| 3 | 685, 455, 126, 105, 247 |
| 5 | 685, 455, 42, 35, 247 |
| 7 | 137, 91, 42, 7, 247 |
| 13 | 137, 13, 6, 1, 247 |
| 137, 1, 6, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 13 x 137 x 1 x 6 x 1 x 19 = 127911420
Therefore, the lowest common multiple of 685,910,756,630,247 is 127911420.
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.
685 x 910 x 756 x 630 x 247 = 73331617086000
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.
685 : 1, 5, 137, 685
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,910,756,630,247, is 1.
Now, the common factors can be found like this.
685:5x 137
910:2x 5x 7x 13
756:2x 2x 3x 3x 3x 7
630:2x 3x 3x 5x 7
247:13x 19
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 3x 5x 5x 7x 7x 13 = 573300
Therefore, the value for common factors is 573300.
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 = 73331617086000/(1x573300)
LCM = 73331617086000/573300
LCM = 127911420
Thus, we can understand that the LCM of 685,910,756,630,247 is 127911420.
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FAQs on LCM of 685, 910, 756, 630, 247
1. What is the LCM of 685, 910, 756, 630, 247?
Answer: LCM of 685, 910, 756, 630, 247 is 127911420.
2. How to calculate the LCM of 685, 910, 756, 630, 247?
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 685, 910, 756, 630, 247.
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}.