Find the LCM of 766, 639, 364, 939, 420 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 766, 639, 364, 939, 420. So, keep reading to learn more.
Given numbers are 766,639,364,939,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,639,364,939,420 is 139416879420.
Find LCM of 766,639,364,939,420 with Prime Factorization
2 | 766, 639, 364, 939, 420 |
2 | 383, 639, 182, 939, 210 |
3 | 383, 639, 91, 939, 105 |
7 | 383, 213, 91, 313, 35 |
383, 213, 13, 313, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 383 x 213 x 13 x 313 x 5 = 139416879420
Therefore, the lowest common multiple of 766,639,364,939,420 is 139416879420.
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.
766 x 639 x 364 x 939 x 420 = 70266107227680
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.
766 : 1, 2, 383, 766
639 : 1, 3, 9, 71, 213, 639
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
939 : 1, 3, 313, 939
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,639,364,939,420, is 1.
Now, the common factors can be found like this.
766:2x 383
639:3x 3x 71
364:2x 2x 7x 13
939:3x 313
420:2x 2x 3x 5x 7
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 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 70266107227680/(1x504)
LCM = 70266107227680/504
LCM = 139416879420
Thus, we can understand that the LCM of 766,639,364,939,420 is 139416879420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 639, 364, 939, 420?
Answer: LCM of 766, 639, 364, 939, 420 is 139416879420.
2. How to calculate the LCM of 766, 639, 364, 939, 420?
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 766, 639, 364, 939, 420.
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}.