LCM of 651, 429, 374, 420, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 429, 374, 420, 767 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 651, 429, 374, 420, 767. So, keep reading to learn more.
Given numbers are 651,429,374,420,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,429,374,420,767 is 1867445580.
Find LCM of 651,429,374,420,767 with Prime Factorization
| 2 | 651, 429, 374, 420, 767 |
| 3 | 651, 429, 187, 210, 767 |
| 7 | 217, 143, 187, 70, 767 |
| 11 | 31, 143, 187, 10, 767 |
| 13 | 31, 13, 17, 10, 767 |
| 31, 1, 17, 10, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 31 x 1 x 17 x 10 x 59 = 1867445580
Therefore, the lowest common multiple of 651,429,374,420,767 is 1867445580.
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.
651 x 429 x 374 x 420 x 767 = 33647634460440
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
429 : 1, 3, 11, 13, 33, 39, 143, 429
374 : 1, 2, 11, 17, 22, 34, 187, 374
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
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,429,374,420,767, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
429:3x 11x 13
374:2x 11x 17
420:2x 2x 3x 5x 7
767:13x 59
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 7x 11x 13 = 18018
Therefore, the value for common factors is 18018.
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 = 33647634460440/(1x18018)
LCM = 33647634460440/18018
LCM = 1867445580
Thus, we can understand that the LCM of 651,429,374,420,767 is 1867445580.
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FAQs on LCM of 651, 429, 374, 420, 767
1. What is the LCM of 651, 429, 374, 420, 767?
Answer: LCM of 651, 429, 374, 420, 767 is 1867445580.
2. How to calculate the LCM of 651, 429, 374, 420, 767?
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 651, 429, 374, 420, 767.
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}.