LCM of 676, 380, 501, 735, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 380, 501, 735, 635 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, 380, 501, 735, 635. So, keep reading to learn more.
Given numbers are 676,380,501,735,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,380,501,735,635 is 200220171060.
Find LCM of 676,380,501,735,635 with Prime Factorization
| 2 | 676, 380, 501, 735, 635 |
| 2 | 338, 190, 501, 735, 635 |
| 3 | 169, 95, 501, 735, 635 |
| 5 | 169, 95, 167, 245, 635 |
| 169, 19, 167, 49, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 169 x 19 x 167 x 49 x 127 = 200220171060
Therefore, the lowest common multiple of 676,380,501,735,635 is 200220171060.
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 380 x 501 x 735 x 635 = 60066051318000
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
501 : 1, 3, 167, 501
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,380,501,735,635, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
380:2x 2x 5x 19
501:3x 167
735:3x 5x 7x 7
635:5x 127
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 60066051318000/(1x300)
LCM = 60066051318000/300
LCM = 200220171060
Thus, we can understand that the LCM of 676,380,501,735,635 is 200220171060.
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FAQs on LCM of 676, 380, 501, 735, 635
1. What is the LCM of 676, 380, 501, 735, 635?
Answer: LCM of 676, 380, 501, 735, 635 is 200220171060.
2. How to calculate the LCM of 676, 380, 501, 735, 635?
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, 380, 501, 735, 635.
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}.