LCM of 419, 780, 767, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 780, 767, 234 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 419, 780, 767, 234. So, keep reading to learn more.
Given numbers are 419,780,767,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,780,767,234 is 57847140.
Find LCM of 419,780,767,234 with Prime Factorization
| 2 | 419, 780, 767, 234 |
| 3 | 419, 390, 767, 117 |
| 13 | 419, 130, 767, 39 |
| 419, 10, 59, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 419 x 10 x 59 x 3 = 57847140
Therefore, the lowest common multiple of 419,780,767,234 is 57847140.
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.
419 x 780 x 767 x 234 = 58656999960
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.
419 : 1, 419
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
767 : 1, 13, 59, 767
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,780,767,234, is 1.
Now, the common factors can be found like this.
419:419
780:2x 2x 3x 5x 13
767:13x 59
234:2x 3x 3x 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 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 58656999960/(1x1014)
LCM = 58656999960/1014
LCM = 57847140
Thus, we can understand that the LCM of 419,780,767,234 is 57847140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 419, 780, 767, 234
1. What is the LCM of 419, 780, 767, 234?
Answer: LCM of 419, 780, 767, 234 is 57847140.
2. How to calculate the LCM of 419, 780, 767, 234?
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 419, 780, 767, 234.
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}.