Find the LCM of 738, 103, 660, 117, 680 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 738, 103, 660, 117, 680. So, keep reading to learn more.
Given numbers are 738,103,660,117,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,103,660,117,680 is 3695800680.
Find LCM of 738,103,660,117,680 with Prime Factorization
2 | 738, 103, 660, 117, 680 |
2 | 369, 103, 330, 117, 340 |
3 | 369, 103, 165, 117, 170 |
3 | 123, 103, 55, 39, 170 |
5 | 41, 103, 55, 13, 170 |
41, 103, 11, 13, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 41 x 103 x 11 x 13 x 34 = 3695800680
Therefore, the lowest common multiple of 738,103,660,117,680 is 3695800680.
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.
738 x 103 x 660 x 117 x 680 = 3991464734400
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
103 : 1, 103
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
117 : 1, 3, 9, 13, 39, 117
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,103,660,117,680, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
103:103
660:2x 2x 3x 5x 11
117:3x 3x 13
680:2x 2x 2x 5x 17
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 3991464734400/(1x1080)
LCM = 3991464734400/1080
LCM = 3695800680
Thus, we can understand that the LCM of 738,103,660,117,680 is 3695800680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 738, 103, 660, 117, 680?
Answer: LCM of 738, 103, 660, 117, 680 is 3695800680.
2. How to calculate the LCM of 738, 103, 660, 117, 680?
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 738, 103, 660, 117, 680.
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}.