LCM of 493, 374, 717, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 374, 717, 978 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 493, 374, 717, 978. So, keep reading to learn more.
Given numbers are 493,374,717,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,374,717,978 is 1267582866.
Find LCM of 493,374,717,978 with Prime Factorization
| 2 | 493, 374, 717, 978 |
| 3 | 493, 187, 717, 489 |
| 17 | 493, 187, 239, 163 |
| 29, 11, 239, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 11 x 239 x 163 = 1267582866
Therefore, the lowest common multiple of 493,374,717,978 is 1267582866.
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.
493 x 374 x 717 x 978 = 129293452332
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.
493 : 1, 17, 29, 493
374 : 1, 2, 11, 17, 22, 34, 187, 374
717 : 1, 3, 239, 717
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,374,717,978, is 1.
Now, the common factors can be found like this.
493:17x 29
374:2x 11x 17
717:3x 239
978:2x 3x 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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 129293452332/(1x102)
LCM = 129293452332/102
LCM = 1267582866
Thus, we can understand that the LCM of 493,374,717,978 is 1267582866.
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FAQs on LCM of 493, 374, 717, 978
1. What is the LCM of 493, 374, 717, 978?
Answer: LCM of 493, 374, 717, 978 is 1267582866.
2. How to calculate the LCM of 493, 374, 717, 978?
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 493, 374, 717, 978.
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}.