Find the LCM of 674, 945, 626, 513, 550 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 674, 945, 626, 513, 550. So, keep reading to learn more.
Given numbers are 674,945,626,513,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,945,626,513,550 is 208330249050.
Find LCM of 674,945,626,513,550 with Prime Factorization
2 | 674, 945, 626, 513, 550 |
3 | 337, 945, 313, 513, 275 |
3 | 337, 315, 313, 171, 275 |
3 | 337, 105, 313, 57, 275 |
5 | 337, 35, 313, 19, 275 |
337, 7, 313, 19, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 337 x 7 x 313 x 19 x 55 = 208330249050
Therefore, the lowest common multiple of 674,945,626,513,550 is 208330249050.
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.
674 x 945 x 626 x 513 x 550 = 112498334487000
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.
674 : 1, 2, 337, 674
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
626 : 1, 2, 313, 626
513 : 1, 3, 9, 19, 27, 57, 171, 513
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,945,626,513,550, is 1.
Now, the common factors can be found like this.
674:2x 337
945:3x 3x 3x 5x 7
626:2x 313
513:3x 3x 3x 19
550:2x 5x 5x 11
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 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 112498334487000/(1x540)
LCM = 112498334487000/540
LCM = 208330249050
Thus, we can understand that the LCM of 674,945,626,513,550 is 208330249050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 945, 626, 513, 550?
Answer: LCM of 674, 945, 626, 513, 550 is 208330249050.
2. How to calculate the LCM of 674, 945, 626, 513, 550?
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 674, 945, 626, 513, 550.
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}.