LCM of 706, 189, 921, 525, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 189, 921, 525, 648 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, 189, 921, 525, 648. So, keep reading to learn more.
Given numbers are 706,189,921,525,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,189,921,525,648 is 12289271400.
Find LCM of 706,189,921,525,648 with Prime Factorization
| 2 | 706, 189, 921, 525, 648 |
| 3 | 353, 189, 921, 525, 324 |
| 3 | 353, 63, 307, 175, 108 |
| 3 | 353, 21, 307, 175, 36 |
| 7 | 353, 7, 307, 175, 12 |
| 353, 1, 307, 25, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 353 x 1 x 307 x 25 x 12 = 12289271400
Therefore, the lowest common multiple of 706,189,921,525,648 is 12289271400.
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 189 x 921 x 525 x 648 = 41808101302800
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
921 : 1, 3, 307, 921
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,189,921,525,648, is 1.
Now, the common factors can be found like this.
706:2x 353
189:3x 3x 3x 7
921:3x 307
525:3x 5x 5x 7
648:2x 2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 7 = 3402
Therefore, the value for common factors is 3402.
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 = 41808101302800/(1x3402)
LCM = 41808101302800/3402
LCM = 12289271400
Thus, we can understand that the LCM of 706,189,921,525,648 is 12289271400.
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FAQs on LCM of 706, 189, 921, 525, 648
1. What is the LCM of 706, 189, 921, 525, 648?
Answer: LCM of 706, 189, 921, 525, 648 is 12289271400.
2. How to calculate the LCM of 706, 189, 921, 525, 648?
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, 189, 921, 525, 648.
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}.