Find the LCM of 820, 168, 780, 972, 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 820, 168, 780, 972, 708. So, keep reading to learn more.
Given numbers are 820,168,780,972,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,168,780,972,708 is 2139653880.
Find LCM of 820,168,780,972,708 with Prime Factorization
2 | 820, 168, 780, 972, 708 |
2 | 410, 84, 390, 486, 354 |
3 | 205, 42, 195, 243, 177 |
5 | 205, 14, 65, 81, 59 |
41, 14, 13, 81, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 14 x 13 x 81 x 59 = 2139653880
Therefore, the lowest common multiple of 820,168,780,972,708 is 2139653880.
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.
820 x 168 x 780 x 972 x 708 = 73946438092800
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,168,780,972,708, is 4.
Now, the common factors can be found like this.
820:2x 2x 5x 41
168:2x 2x 2x 3x 7
780:2x 2x 3x 5x 13
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 73946438092800/(4x8640)
LCM = 73946438092800/34560
LCM = 2139653880
Thus, we can understand that the LCM of 820,168,780,972,708 is 2139653880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 168, 780, 972, 708?
Answer: LCM of 820, 168, 780, 972, 708 is 2139653880.
2. How to calculate the LCM of 820, 168, 780, 972, 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 820, 168, 780, 972, 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}.