Find the LCM of 554, 733, 676, 234 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 554, 733, 676, 234. So, keep reading to learn more.
Given numbers are 554,733,676,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,733,676,234 is 1235301444.
Find LCM of 554,733,676,234 with Prime Factorization
2 | 554, 733, 676, 234 |
13 | 277, 733, 338, 117 |
277, 733, 26, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 277 x 733 x 26 x 9 = 1235301444
Therefore, the lowest common multiple of 554,733,676,234 is 1235301444.
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.
554 x 733 x 676 x 234 = 64235675088
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.
554 : 1, 2, 277, 554
733 : 1, 733
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,733,676,234, is 1.
Now, the common factors can be found like this.
554:2x 277
733:733
676:2x 2x 13x 13
234:2x 3x 3x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 64235675088/(1x52)
LCM = 64235675088/52
LCM = 1235301444
Thus, we can understand that the LCM of 554,733,676,234 is 1235301444.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 554, 733, 676, 234?
Answer: LCM of 554, 733, 676, 234 is 1235301444.
2. How to calculate the LCM of 554, 733, 676, 234?
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 554, 733, 676, 234.
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}.