LCM of 820, 168, 708, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 168, 708, 369 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, 708, 369. So, keep reading to learn more.
Given numbers are 820,168,708,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,168,708,369 is 6095880.
Find LCM of 820,168,708,369 with Prime Factorization
| 2 | 820, 168, 708, 369 |
| 2 | 410, 84, 354, 369 |
| 3 | 205, 42, 177, 369 |
| 41 | 205, 14, 59, 123 |
| 5, 14, 59, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 5 x 14 x 59 x 3 = 6095880
Therefore, the lowest common multiple of 820,168,708,369 is 6095880.
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 708 x 369 = 35990075520
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
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,168,708,369, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
168:2x 2x 2x 3x 7
708:2x 2x 3x 59
369:3x 3x 41
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 3x 3x 41 = 5904
Therefore, the value for common factors is 5904.
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 = 35990075520/(1x5904)
LCM = 35990075520/5904
LCM = 6095880
Thus, we can understand that the LCM of 820,168,708,369 is 6095880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 820, 168, 708, 369
1. What is the LCM of 820, 168, 708, 369?
Answer: LCM of 820, 168, 708, 369 is 6095880.
2. How to calculate the LCM of 820, 168, 708, 369?
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, 708, 369.
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}.