LCM of 562, 825, 750, 846, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 825, 750, 846, 457 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 562, 825, 750, 846, 457. So, keep reading to learn more.
Given numbers are 562,825,750,846,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,825,750,846,457 is 149381075250.
Find LCM of 562,825,750,846,457 with Prime Factorization
| 2 | 562, 825, 750, 846, 457 |
| 3 | 281, 825, 375, 423, 457 |
| 5 | 281, 275, 125, 141, 457 |
| 5 | 281, 55, 25, 141, 457 |
| 281, 11, 5, 141, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 281 x 11 x 5 x 141 x 457 = 149381075250
Therefore, the lowest common multiple of 562,825,750,846,457 is 149381075250.
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.
562 x 825 x 750 x 846 x 457 = 134442967725000
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.
562 : 1, 2, 281, 562
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,825,750,846,457, is 1.
Now, the common factors can be found like this.
562:2x 281
825:3x 5x 5x 11
750:2x 3x 5x 5x 5
846:2x 3x 3x 47
457:457
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 5 = 900
Therefore, the value for common factors is 900.
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 = 134442967725000/(1x900)
LCM = 134442967725000/900
LCM = 149381075250
Thus, we can understand that the LCM of 562,825,750,846,457 is 149381075250.
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FAQs on LCM of 562, 825, 750, 846, 457
1. What is the LCM of 562, 825, 750, 846, 457?
Answer: LCM of 562, 825, 750, 846, 457 is 149381075250.
2. How to calculate the LCM of 562, 825, 750, 846, 457?
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 562, 825, 750, 846, 457.
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}.