LCM of 706, 540, 748, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 540, 748, 684 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 706, 540, 748, 684. So, keep reading to learn more.
Given numbers are 706,540,748,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,540,748,684 is 677272860.
Find LCM of 706,540,748,684 with Prime Factorization
| 2 | 706, 540, 748, 684 |
| 2 | 353, 270, 374, 342 |
| 3 | 353, 135, 187, 171 |
| 3 | 353, 45, 187, 57 |
| 353, 15, 187, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 353 x 15 x 187 x 19 = 677272860
Therefore, the lowest common multiple of 706,540,748,684 is 677272860.
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.
706 x 540 x 748 x 684 = 195054583680
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.
706 : 1, 2, 353, 706
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,540,748,684, is 2.
Now, the common factors can be found like this.
706:2x 353
540:2x 2x 3x 3x 3x 5
748:2x 2x 11x 17
684:2x 2x 3x 3x 19
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 3 = 144
Therefore, the value for common factors is 144.
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 = 195054583680/(2x144)
LCM = 195054583680/288
LCM = 677272860
Thus, we can understand that the LCM of 706,540,748,684 is 677272860.
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FAQs on LCM of 706, 540, 748, 684
1. What is the LCM of 706, 540, 748, 684?
Answer: LCM of 706, 540, 748, 684 is 677272860.
2. How to calculate the LCM of 706, 540, 748, 684?
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 706, 540, 748, 684.
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}.