LCM of 584, 742, 392, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 742, 392, 714 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 584, 742, 392, 714. So, keep reading to learn more.
Given numbers are 584,742,392,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,742,392,714 is 77349048.
Find LCM of 584,742,392,714 with Prime Factorization
| 2 | 584, 742, 392, 714 |
| 2 | 292, 371, 196, 357 |
| 2 | 146, 371, 98, 357 |
| 7 | 73, 371, 49, 357 |
| 73, 53, 7, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 73 x 53 x 7 x 51 = 77349048
Therefore, the lowest common multiple of 584,742,392,714 is 77349048.
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.
584 x 742 x 392 x 714 = 121283307264
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
742 : 1, 2, 7, 14, 53, 106, 371, 742
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,742,392,714, is 2.
Now, the common factors can be found like this.
584:2x 2x 2x 73
742:2x 7x 53
392:2x 2x 2x 7x 7
714:2x 3x 7x 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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 121283307264/(2x784)
LCM = 121283307264/1568
LCM = 77349048
Thus, we can understand that the LCM of 584,742,392,714 is 77349048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 584, 742, 392, 714
1. What is the LCM of 584, 742, 392, 714?
Answer: LCM of 584, 742, 392, 714 is 77349048.
2. How to calculate the LCM of 584, 742, 392, 714?
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 584, 742, 392, 714.
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}.