LCM of 524, 746, 142, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 746, 142, 408 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 524, 746, 142, 408. So, keep reading to learn more.
Given numbers are 524,746,142,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,746,142,408 is 1415463384.
Find LCM of 524,746,142,408 with Prime Factorization
| 2 | 524, 746, 142, 408 |
| 2 | 262, 373, 71, 204 |
| 131, 373, 71, 102 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 373 x 71 x 102 = 1415463384
Therefore, the lowest common multiple of 524,746,142,408 is 1415463384.
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.
524 x 746 x 142 x 408 = 22647414144
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.
524 : 1, 2, 4, 131, 262, 524
746 : 1, 2, 373, 746
142 : 1, 2, 71, 142
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,746,142,408, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
746:2x 373
142:2x 71
408:2x 2x 2x 3x 17
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 2 = 8
Therefore, the value for common factors is 8.
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 = 22647414144/(2x8)
LCM = 22647414144/16
LCM = 1415463384
Thus, we can understand that the LCM of 524,746,142,408 is 1415463384.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 524, 746, 142, 408
1. What is the LCM of 524, 746, 142, 408?
Answer: LCM of 524, 746, 142, 408 is 1415463384.
2. How to calculate the LCM of 524, 746, 142, 408?
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 524, 746, 142, 408.
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}.