LCM of 427, 722, 978, 329, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 722, 978, 329, 493 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 427, 722, 978, 329, 493. So, keep reading to learn more.
Given numbers are 427,722,978,329,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,722,978,329,493 is 3493161853986.
Find LCM of 427,722,978,329,493 with Prime Factorization
| 2 | 427, 722, 978, 329, 493 |
| 7 | 427, 361, 489, 329, 493 |
| 61, 361, 489, 47, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 61 x 361 x 489 x 47 x 493 = 3493161853986
Therefore, the lowest common multiple of 427,722,978,329,493 is 3493161853986.
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.
427 x 722 x 978 x 329 x 493 = 48904265955804
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.
427 : 1, 7, 61, 427
722 : 1, 2, 19, 38, 361, 722
978 : 1, 2, 3, 6, 163, 326, 489, 978
329 : 1, 7, 47, 329
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,722,978,329,493, is 1.
Now, the common factors can be found like this.
427:7x 61
722:2x 19x 19
978:2x 3x 163
329:7x 47
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 48904265955804/(1x14)
LCM = 48904265955804/14
LCM = 3493161853986
Thus, we can understand that the LCM of 427,722,978,329,493 is 3493161853986.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 427, 722, 978, 329, 493
1. What is the LCM of 427, 722, 978, 329, 493?
Answer: LCM of 427, 722, 978, 329, 493 is 3493161853986.
2. How to calculate the LCM of 427, 722, 978, 329, 493?
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 427, 722, 978, 329, 493.
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}.