LCM of 724, 392, 502, 972, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 392, 502, 972, 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 724, 392, 502, 972, 326. So, keep reading to learn more.
Given numbers are 724,392,502,972,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,392,502,972,326 is 705394779768.
Find LCM of 724,392,502,972,326 with Prime Factorization
| 2 | 724, 392, 502, 972, 326 |
| 2 | 362, 196, 251, 486, 163 |
| 181, 98, 251, 243, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 98 x 251 x 243 x 163 = 705394779768
Therefore, the lowest common multiple of 724,392,502,972,326 is 705394779768.
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.
724 x 392 x 502 x 972 x 326 = 45145265905152
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.
724 : 1, 2, 4, 181, 362, 724
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
502 : 1, 2, 251, 502
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
326 : 1, 2, 163, 326
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,392,502,972,326, is 2.
Now, the common factors can be found like this.
724:2x 2x 181
392:2x 2x 2x 7x 7
502:2x 251
972:2x 2x 3x 3x 3x 3x 3
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 45145265905152/(2x32)
LCM = 45145265905152/64
LCM = 705394779768
Thus, we can understand that the LCM of 724,392,502,972,326 is 705394779768.
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FAQs on LCM of 724, 392, 502, 972, 326
1. What is the LCM of 724, 392, 502, 972, 326?
Answer: LCM of 724, 392, 502, 972, 326 is 705394779768.
2. How to calculate the LCM of 724, 392, 502, 972, 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 724, 392, 502, 972, 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}.