LCM of 528, 847, 570, 445, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 847, 570, 445, 924 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 528, 847, 570, 445, 924. So, keep reading to learn more.
Given numbers are 528,847,570,445,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,847,570,445,924 is 343746480.
Find LCM of 528,847,570,445,924 with Prime Factorization
| 2 | 528, 847, 570, 445, 924 |
| 2 | 264, 847, 285, 445, 462 |
| 3 | 132, 847, 285, 445, 231 |
| 5 | 44, 847, 95, 445, 77 |
| 7 | 44, 847, 19, 89, 77 |
| 11 | 44, 121, 19, 89, 11 |
| 4, 1, 19, 89, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 4 x 1 x 19 x 89 x 11 = 343746480
Therefore, the lowest common multiple of 528,847,570,445,924 is 343746480.
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.
528 x 847 x 570 x 445 x 924 = 104815176681600
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
847 : 1, 7, 11, 77, 121, 847
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
445 : 1, 5, 89, 445
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,847,570,445,924, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
847:7x 11x 11
570:2x 3x 5x 19
445:5x 89
924:2x 2x 3x 7x 11
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 3x 3x 5x 7x 11x 11 = 304920
Therefore, the value for common factors is 304920.
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 = 104815176681600/(1x304920)
LCM = 104815176681600/304920
LCM = 343746480
Thus, we can understand that the LCM of 528,847,570,445,924 is 343746480.
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FAQs on LCM of 528, 847, 570, 445, 924
1. What is the LCM of 528, 847, 570, 445, 924?
Answer: LCM of 528, 847, 570, 445, 924 is 343746480.
2. How to calculate the LCM of 528, 847, 570, 445, 924?
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 528, 847, 570, 445, 924.
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}.