Find the LCM of 956, 740, 170, 780, 708 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 956, 740, 170, 780, 708. So, keep reading to learn more.
Given numbers are 956,740,170,780,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,740,170,780,708 is 6918232620.
Find LCM of 956,740,170,780,708 with Prime Factorization
2 | 956, 740, 170, 780, 708 |
2 | 478, 370, 85, 390, 354 |
3 | 239, 185, 85, 195, 177 |
5 | 239, 185, 85, 65, 59 |
239, 37, 17, 13, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 239 x 37 x 17 x 13 x 59 = 6918232620
Therefore, the lowest common multiple of 956,740,170,780,708 is 6918232620.
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.
956 x 740 x 170 x 780 x 708 = 66415033152000
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.
956 : 1, 2, 4, 239, 478, 956
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
170 : 1, 2, 5, 10, 17, 34, 85, 170
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,740,170,780,708, is 2.
Now, the common factors can be found like this.
956:2x 2x 239
740:2x 2x 5x 37
170:2x 5x 17
780:2x 2x 3x 5x 13
708:2x 2x 3x 59
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 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 66415033152000/(2x4800)
LCM = 66415033152000/9600
LCM = 6918232620
Thus, we can understand that the LCM of 956,740,170,780,708 is 6918232620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 956, 740, 170, 780, 708?
Answer: LCM of 956, 740, 170, 780, 708 is 6918232620.
2. How to calculate the LCM of 956, 740, 170, 780, 708?
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 956, 740, 170, 780, 708.
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}.