LCM of 767, 520, 379, 195, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 520, 379, 195, 380 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 767, 520, 379, 195, 380. So, keep reading to learn more.
Given numbers are 767,520,379,195,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,520,379,195,380 is 662780040.
Find LCM of 767,520,379,195,380 with Prime Factorization
| 2 | 767, 520, 379, 195, 380 |
| 2 | 767, 260, 379, 195, 190 |
| 5 | 767, 130, 379, 195, 95 |
| 13 | 767, 26, 379, 39, 19 |
| 59, 2, 379, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 59 x 2 x 379 x 3 x 19 = 662780040
Therefore, the lowest common multiple of 767,520,379,195,380 is 662780040.
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.
767 x 520 x 379 x 195 x 380 = 11200982676000
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.
767 : 1, 13, 59, 767
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
379 : 1, 379
195 : 1, 3, 5, 13, 15, 39, 65, 195
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,520,379,195,380, is 1.
Now, the common factors can be found like this.
767:13x 59
520:2x 2x 2x 5x 13
379:379
195:3x 5x 13
380:2x 2x 5x 19
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 5x 5x 13x 13 = 16900
Therefore, the value for common factors is 16900.
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 = 11200982676000/(1x16900)
LCM = 11200982676000/16900
LCM = 662780040
Thus, we can understand that the LCM of 767,520,379,195,380 is 662780040.
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FAQs on LCM of 767, 520, 379, 195, 380
1. What is the LCM of 767, 520, 379, 195, 380?
Answer: LCM of 767, 520, 379, 195, 380 is 662780040.
2. How to calculate the LCM of 767, 520, 379, 195, 380?
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 767, 520, 379, 195, 380.
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}.