LCM of 560, 824, 705, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 824, 705, 812 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 560, 824, 705, 812. So, keep reading to learn more.
Given numbers are 560,824,705,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,824,705,812 is 235853520.
Find LCM of 560,824,705,812 with Prime Factorization
| 2 | 560, 824, 705, 812 |
| 2 | 280, 412, 705, 406 |
| 2 | 140, 206, 705, 203 |
| 5 | 70, 103, 705, 203 |
| 7 | 14, 103, 141, 203 |
| 2, 103, 141, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 2 x 103 x 141 x 29 = 235853520
Therefore, the lowest common multiple of 560,824,705,812 is 235853520.
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.
560 x 824 x 705 x 812 = 264155942400
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
824 : 1, 2, 4, 8, 103, 206, 412, 824
705 : 1, 3, 5, 15, 47, 141, 235, 705
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,824,705,812, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
824:2x 2x 2x 103
705:3x 5x 47
812:2x 2x 7x 29
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 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 264155942400/(1x1120)
LCM = 264155942400/1120
LCM = 235853520
Thus, we can understand that the LCM of 560,824,705,812 is 235853520.
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FAQs on LCM of 560, 824, 705, 812
1. What is the LCM of 560, 824, 705, 812?
Answer: LCM of 560, 824, 705, 812 is 235853520.
2. How to calculate the LCM of 560, 824, 705, 812?
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 560, 824, 705, 812.
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}.