Find the LCM of 842, 962, 703, 950, 520 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 842, 962, 703, 950, 520. So, keep reading to learn more.
Given numbers are 842,962,703,950,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,962,703,950,520 is 769503800.
Find LCM of 842,962,703,950,520 with Prime Factorization
2 | 842, 962, 703, 950, 520 |
5 | 421, 481, 703, 475, 260 |
13 | 421, 481, 703, 95, 52 |
19 | 421, 37, 703, 95, 4 |
37 | 421, 37, 37, 5, 4 |
421, 1, 1, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 37 x 421 x 1 x 1 x 5 x 4 = 769503800
Therefore, the lowest common multiple of 842,962,703,950,520 is 769503800.
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.
842 x 962 x 703 x 950 x 520 = 281299809128000
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.
842 : 1, 2, 421, 842
962 : 1, 2, 13, 26, 37, 74, 481, 962
703 : 1, 19, 37, 703
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,962,703,950,520, is 1.
Now, the common factors can be found like this.
842:2x 421
962:2x 13x 37
703:19x 37
950:2x 5x 5x 19
520:2x 2x 2x 5x 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 2x 2x 5x 13x 19x 37 = 365560
Therefore, the value for common factors is 365560.
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 = 281299809128000/(1x365560)
LCM = 281299809128000/365560
LCM = 769503800
Thus, we can understand that the LCM of 842,962,703,950,520 is 769503800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 842, 962, 703, 950, 520?
Answer: LCM of 842, 962, 703, 950, 520 is 769503800.
2. How to calculate the LCM of 842, 962, 703, 950, 520?
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 842, 962, 703, 950, 520.
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}.