Find the LCM of 688, 613, 650, 416, 745 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 688, 613, 650, 416, 745. So, keep reading to learn more.
Given numbers are 688,613,650,416,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,613,650,416,745 is 40845906400.
Find LCM of 688,613,650,416,745 with Prime Factorization
2 | 688, 613, 650, 416, 745 |
2 | 344, 613, 325, 208, 745 |
2 | 172, 613, 325, 104, 745 |
2 | 86, 613, 325, 52, 745 |
5 | 43, 613, 325, 26, 745 |
13 | 43, 613, 65, 26, 149 |
43, 613, 5, 2, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 43 x 613 x 5 x 2 x 149 = 40845906400
Therefore, the lowest common multiple of 688,613,650,416,745 is 40845906400.
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.
688 x 613 x 650 x 416 x 745 = 84959485312000
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
613 : 1, 613
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,613,650,416,745, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
613:613
650:2x 5x 5x 13
416:2x 2x 2x 2x 2x 13
745:5x 149
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 2x 2x 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 84959485312000/(1x2080)
LCM = 84959485312000/2080
LCM = 40845906400
Thus, we can understand that the LCM of 688,613,650,416,745 is 40845906400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 613, 650, 416, 745?
Answer: LCM of 688, 613, 650, 416, 745 is 40845906400.
2. How to calculate the LCM of 688, 613, 650, 416, 745?
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 688, 613, 650, 416, 745.
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}.