LCM of 374, 978, 468, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 978, 468, 423 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 374, 978, 468, 423. So, keep reading to learn more.
Given numbers are 374,978,468,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,978,468,423 is 670460076.
Find LCM of 374,978,468,423 with Prime Factorization
| 2 | 374, 978, 468, 423 |
| 3 | 187, 489, 234, 423 |
| 3 | 187, 163, 78, 141 |
| 187, 163, 26, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 187 x 163 x 26 x 47 = 670460076
Therefore, the lowest common multiple of 374,978,468,423 is 670460076.
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.
374 x 978 x 468 x 423 = 72409688208
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
978 : 1, 2, 3, 6, 163, 326, 489, 978
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,978,468,423, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
978:2x 3x 163
468:2x 2x 3x 3x 13
423:3x 3x 47
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 72409688208/(1x108)
LCM = 72409688208/108
LCM = 670460076
Thus, we can understand that the LCM of 374,978,468,423 is 670460076.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 374, 978, 468, 423
1. What is the LCM of 374, 978, 468, 423?
Answer: LCM of 374, 978, 468, 423 is 670460076.
2. How to calculate the LCM of 374, 978, 468, 423?
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 374, 978, 468, 423.
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}.