Find the LCM of 549, 922, 374, 532 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 549, 922, 374, 532. So, keep reading to learn more.
Given numbers are 549,922,374,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,922,374,532 is 25178306076.
Find LCM of 549,922,374,532 with Prime Factorization
2 | 549, 922, 374, 532 |
549, 461, 187, 266 |
Multiply the prime numbers at the bottom and the left side.
2 x 549 x 461 x 187 x 266 = 25178306076
Therefore, the lowest common multiple of 549,922,374,532 is 25178306076.
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.
549 x 922 x 374 x 532 = 100713224304
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.
549 : 1, 3, 9, 61, 183, 549
922 : 1, 2, 461, 922
374 : 1, 2, 11, 17, 22, 34, 187, 374
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,922,374,532, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
922:2x 461
374:2x 11x 17
532:2x 2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 100713224304/(1x4)
LCM = 100713224304/4
LCM = 25178306076
Thus, we can understand that the LCM of 549,922,374,532 is 25178306076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 922, 374, 532?
Answer: LCM of 549, 922, 374, 532 is 25178306076.
2. How to calculate the LCM of 549, 922, 374, 532?
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 549, 922, 374, 532.
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}.