LCM of 676, 338, 865, 600, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 338, 865, 600, 668 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 676, 338, 865, 600, 668. So, keep reading to learn more.
Given numbers are 676,338,865,600,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,338,865,600,668 is 2929547400.
Find LCM of 676,338,865,600,668 with Prime Factorization
| 2 | 676, 338, 865, 600, 668 |
| 2 | 338, 169, 865, 300, 334 |
| 5 | 169, 169, 865, 150, 167 |
| 13 | 169, 169, 173, 30, 167 |
| 13 | 13, 13, 173, 30, 167 |
| 1, 1, 173, 30, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 13 x 1 x 1 x 173 x 30 x 167 = 2929547400
Therefore, the lowest common multiple of 676,338,865,600,668 is 2929547400.
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.
676 x 338 x 865 x 600 x 668 = 79214961696000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
338 : 1, 2, 13, 26, 169, 338
865 : 1, 5, 173, 865
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,338,865,600,668, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
338:2x 13x 13
865:5x 173
600:2x 2x 2x 3x 5x 5
668:2x 2x 167
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 5x 13x 13 = 27040
Therefore, the value for common factors is 27040.
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 = 79214961696000/(1x27040)
LCM = 79214961696000/27040
LCM = 2929547400
Thus, we can understand that the LCM of 676,338,865,600,668 is 2929547400.
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FAQs on LCM of 676, 338, 865, 600, 668
1. What is the LCM of 676, 338, 865, 600, 668?
Answer: LCM of 676, 338, 865, 600, 668 is 2929547400.
2. How to calculate the LCM of 676, 338, 865, 600, 668?
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 676, 338, 865, 600, 668.
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}.