LCM of 642, 784, 760, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 784, 760, 252 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 642, 784, 760, 252. So, keep reading to learn more.
Given numbers are 642,784,760,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,784,760,252 is 71724240.
Find LCM of 642,784,760,252 with Prime Factorization
| 2 | 642, 784, 760, 252 |
| 2 | 321, 392, 380, 126 |
| 2 | 321, 196, 190, 63 |
| 3 | 321, 98, 95, 63 |
| 7 | 107, 98, 95, 21 |
| 107, 14, 95, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 107 x 14 x 95 x 3 = 71724240
Therefore, the lowest common multiple of 642,784,760,252 is 71724240.
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.
642 x 784 x 760 x 252 = 96397378560
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,784,760,252, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
784:2x 2x 2x 2x 7x 7
760:2x 2x 2x 5x 19
252:2x 2x 3x 3x 7
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 7 = 672
Therefore, the value for common factors is 672.
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 = 96397378560/(2x672)
LCM = 96397378560/1344
LCM = 71724240
Thus, we can understand that the LCM of 642,784,760,252 is 71724240.
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FAQs on LCM of 642, 784, 760, 252
1. What is the LCM of 642, 784, 760, 252?
Answer: LCM of 642, 784, 760, 252 is 71724240.
2. How to calculate the LCM of 642, 784, 760, 252?
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 642, 784, 760, 252.
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}.