LCM of 236, 314, 315, 141, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 314, 315, 141, 676 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 236, 314, 315, 141, 676. So, keep reading to learn more.
Given numbers are 236,314,315,141,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,314,315,141,676 is 92705771340.
Find LCM of 236,314,315,141,676 with Prime Factorization
| 2 | 236, 314, 315, 141, 676 |
| 2 | 118, 157, 315, 141, 338 |
| 3 | 59, 157, 315, 141, 169 |
| 59, 157, 105, 47, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 157 x 105 x 47 x 169 = 92705771340
Therefore, the lowest common multiple of 236,314,315,141,676 is 92705771340.
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.
236 x 314 x 315 x 141 x 676 = 2224938512160
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.
236 : 1, 2, 4, 59, 118, 236
314 : 1, 2, 157, 314
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
141 : 1, 3, 47, 141
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,314,315,141,676, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
314:2x 157
315:3x 3x 5x 7
141:3x 47
676:2x 2x 13x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 2224938512160/(1x24)
LCM = 2224938512160/24
LCM = 92705771340
Thus, we can understand that the LCM of 236,314,315,141,676 is 92705771340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 236, 314, 315, 141, 676
1. What is the LCM of 236, 314, 315, 141, 676?
Answer: LCM of 236, 314, 315, 141, 676 is 92705771340.
2. How to calculate the LCM of 236, 314, 315, 141, 676?
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 236, 314, 315, 141, 676.
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}.