LCM of 836, 954, 669, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 954, 669, 318 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 836, 954, 669, 318. So, keep reading to learn more.
Given numbers are 836,954,669,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,954,669,318 is 88926156.
Find LCM of 836,954,669,318 with Prime Factorization
| 2 | 836, 954, 669, 318 |
| 3 | 418, 477, 669, 159 |
| 53 | 418, 53, 223, 159 |
| 418, 1, 223, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 418 x 1 x 223 x 3 = 88926156
Therefore, the lowest common multiple of 836,954,669,318 is 88926156.
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.
836 x 954 x 669 x 318 = 169671105648
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
669 : 1, 3, 223, 669
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,954,669,318, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
954:2x 3x 3x 53
669:3x 223
318:2x 3x 53
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 3x 3x 53 = 1908
Therefore, the value for common factors is 1908.
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 = 169671105648/(1x1908)
LCM = 169671105648/1908
LCM = 88926156
Thus, we can understand that the LCM of 836,954,669,318 is 88926156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 836, 954, 669, 318
1. What is the LCM of 836, 954, 669, 318?
Answer: LCM of 836, 954, 669, 318 is 88926156.
2. How to calculate the LCM of 836, 954, 669, 318?
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 836, 954, 669, 318.
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}.