LCM of 501, 460, 770, 300, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 460, 770, 300, 544 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 501, 460, 770, 300, 544. So, keep reading to learn more.
Given numbers are 501,460,770,300,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,460,770,300,544 is 12066885600.
Find LCM of 501,460,770,300,544 with Prime Factorization
| 2 | 501, 460, 770, 300, 544 |
| 2 | 501, 230, 385, 150, 272 |
| 3 | 501, 115, 385, 75, 136 |
| 5 | 167, 115, 385, 25, 136 |
| 167, 23, 77, 5, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 167 x 23 x 77 x 5 x 136 = 12066885600
Therefore, the lowest common multiple of 501,460,770,300,544 is 12066885600.
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.
501 x 460 x 770 x 300 x 544 = 28960525440000
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.
501 : 1, 3, 167, 501
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,460,770,300,544, is 1.
Now, the common factors can be found like this.
501:3x 167
460:2x 2x 5x 23
770:2x 5x 7x 11
300:2x 2x 3x 5x 5
544:2x 2x 2x 2x 2x 17
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 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 28960525440000/(1x2400)
LCM = 28960525440000/2400
LCM = 12066885600
Thus, we can understand that the LCM of 501,460,770,300,544 is 12066885600.
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FAQs on LCM of 501, 460, 770, 300, 544
1. What is the LCM of 501, 460, 770, 300, 544?
Answer: LCM of 501, 460, 770, 300, 544 is 12066885600.
2. How to calculate the LCM of 501, 460, 770, 300, 544?
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 501, 460, 770, 300, 544.
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}.