LCM of 538, 742, 606, 708, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 742, 606, 708, 424 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 538, 742, 606, 708, 424. So, keep reading to learn more.
Given numbers are 538,742,606,708,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,742,606,708,424 is 14272853784.
Find LCM of 538,742,606,708,424 with Prime Factorization
| 2 | 538, 742, 606, 708, 424 |
| 2 | 269, 371, 303, 354, 212 |
| 3 | 269, 371, 303, 177, 106 |
| 53 | 269, 371, 101, 59, 106 |
| 269, 7, 101, 59, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 269 x 7 x 101 x 59 x 2 = 14272853784
Therefore, the lowest common multiple of 538,742,606,708,424 is 14272853784.
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.
538 x 742 x 606 x 708 x 424 = 72620280052992
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.
538 : 1, 2, 269, 538
742 : 1, 2, 7, 14, 53, 106, 371, 742
606 : 1, 2, 3, 6, 101, 202, 303, 606
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,742,606,708,424, is 2.
Now, the common factors can be found like this.
538:2x 269
742:2x 7x 53
606:2x 3x 101
708:2x 2x 3x 59
424:2x 2x 2x 53
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 53 = 2544
Therefore, the value for common factors is 2544.
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 = 72620280052992/(2x2544)
LCM = 72620280052992/5088
LCM = 14272853784
Thus, we can understand that the LCM of 538,742,606,708,424 is 14272853784.
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FAQs on LCM of 538, 742, 606, 708, 424
1. What is the LCM of 538, 742, 606, 708, 424?
Answer: LCM of 538, 742, 606, 708, 424 is 14272853784.
2. How to calculate the LCM of 538, 742, 606, 708, 424?
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 538, 742, 606, 708, 424.
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}.