LCM of 706, 532, 294, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 532, 294, 326 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, 532, 294, 326. So, keep reading to learn more.
Given numbers are 706,532,294,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,532,294,326 is 642825708.
Find LCM of 706,532,294,326 with Prime Factorization
| 2 | 706, 532, 294, 326 |
| 7 | 353, 266, 147, 163 |
| 353, 38, 21, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 353 x 38 x 21 x 163 = 642825708
Therefore, the lowest common multiple of 706,532,294,326 is 642825708.
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 532 x 294 x 326 = 35998239648
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
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
326 : 1, 2, 163, 326
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,532,294,326, is 2.
Now, the common factors can be found like this.
706:2x 353
532:2x 2x 7x 19
294:2x 3x 7x 7
326:2x 163
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 7 = 28
Therefore, the value for common factors is 28.
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 = 35998239648/(2x28)
LCM = 35998239648/56
LCM = 642825708
Thus, we can understand that the LCM of 706,532,294,326 is 642825708.
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FAQs on LCM of 706, 532, 294, 326
1. What is the LCM of 706, 532, 294, 326?
Answer: LCM of 706, 532, 294, 326 is 642825708.
2. How to calculate the LCM of 706, 532, 294, 326?
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, 532, 294, 326.
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}.