Find the LCM of 438, 674, 688, 277, 674 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 438, 674, 688, 277, 674. So, keep reading to learn more.
Given numbers are 438,674,688,277,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,674,688,277,674 is 14065080528.
Find LCM of 438,674,688,277,674 with Prime Factorization
2 | 438, 674, 688, 277, 674 |
337 | 219, 337, 344, 277, 337 |
219, 1, 344, 277, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 219 x 1 x 344 x 277 x 1 = 14065080528
Therefore, the lowest common multiple of 438,674,688,277,674 is 14065080528.
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.
438 x 674 x 688 x 277 x 674 = 37919457103488
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
674 : 1, 2, 337, 674
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
277 : 1, 277
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,674,688,277,674, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
674:2x 337
688:2x 2x 2x 2x 43
277:277
674:2x 337
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 2x 337 = 2696
Therefore, the value for common factors is 2696.
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 = 37919457103488/(1x2696)
LCM = 37919457103488/2696
LCM = 14065080528
Thus, we can understand that the LCM of 438,674,688,277,674 is 14065080528.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 438, 674, 688, 277, 674?
Answer: LCM of 438, 674, 688, 277, 674 is 14065080528.
2. How to calculate the LCM of 438, 674, 688, 277, 674?
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 438, 674, 688, 277, 674.
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}.