LCM of 377, 420, 717, 930, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 420, 717, 930, 967 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 377, 420, 717, 930, 967. So, keep reading to learn more.
Given numbers are 377,420,717,930,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,420,717,930,967 is 1134427405020.
Find LCM of 377,420,717,930,967 with Prime Factorization
| 2 | 377, 420, 717, 930, 967 |
| 3 | 377, 210, 717, 465, 967 |
| 5 | 377, 70, 239, 155, 967 |
| 377, 14, 239, 31, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 377 x 14 x 239 x 31 x 967 = 1134427405020
Therefore, the lowest common multiple of 377,420,717,930,967 is 1134427405020.
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.
377 x 420 x 717 x 930 x 967 = 102098466451800
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.
377 : 1, 13, 29, 377
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
717 : 1, 3, 239, 717
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,420,717,930,967, is 1.
Now, the common factors can be found like this.
377:13x 29
420:2x 2x 3x 5x 7
717:3x 239
930:2x 3x 5x 31
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 102098466451800/(1x90)
LCM = 102098466451800/90
LCM = 1134427405020
Thus, we can understand that the LCM of 377,420,717,930,967 is 1134427405020.
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FAQs on LCM of 377, 420, 717, 930, 967
1. What is the LCM of 377, 420, 717, 930, 967?
Answer: LCM of 377, 420, 717, 930, 967 is 1134427405020.
2. How to calculate the LCM of 377, 420, 717, 930, 967?
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 377, 420, 717, 930, 967.
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}.