LCM of 762, 300, 550, 286, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 300, 550, 286, 624 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 762, 300, 550, 286, 624. So, keep reading to learn more.
Given numbers are 762,300,550,286,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,300,550,286,624 is 21793200.
Find LCM of 762,300,550,286,624 with Prime Factorization
| 2 | 762, 300, 550, 286, 624 |
| 2 | 381, 150, 275, 143, 312 |
| 3 | 381, 75, 275, 143, 156 |
| 5 | 127, 25, 275, 143, 52 |
| 5 | 127, 5, 55, 143, 52 |
| 11 | 127, 1, 11, 143, 52 |
| 13 | 127, 1, 1, 13, 52 |
| 127, 1, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 13 x 127 x 1 x 1 x 1 x 4 = 21793200
Therefore, the lowest common multiple of 762,300,550,286,624 is 21793200.
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.
762 x 300 x 550 x 286 x 624 = 22438278720000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
286 : 1, 2, 11, 13, 22, 26, 143, 286
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,300,550,286,624, is 2.
Now, the common factors can be found like this.
762:2x 3x 127
300:2x 2x 3x 5x 5
550:2x 5x 5x 11
286:2x 11x 13
624:2x 2x 2x 2x 3x 13
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 3x 3x 5x 5x 11x 13 = 514800
Therefore, the value for common factors is 514800.
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 = 22438278720000/(2x514800)
LCM = 22438278720000/1029600
LCM = 21793200
Thus, we can understand that the LCM of 762,300,550,286,624 is 21793200.
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FAQs on LCM of 762, 300, 550, 286, 624
1. What is the LCM of 762, 300, 550, 286, 624?
Answer: LCM of 762, 300, 550, 286, 624 is 21793200.
2. How to calculate the LCM of 762, 300, 550, 286, 624?
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 762, 300, 550, 286, 624.
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}.