Find the LCM of 302, 475, 780, 703, 105 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 302, 475, 780, 703, 105. So, keep reading to learn more.
Given numbers are 302,475,780,703,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,475,780,703,105 is 2897976900.
Find LCM of 302,475,780,703,105 with Prime Factorization
2 | 302, 475, 780, 703, 105 |
3 | 151, 475, 390, 703, 105 |
5 | 151, 475, 130, 703, 35 |
19 | 151, 95, 26, 703, 7 |
151, 5, 26, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 151 x 5 x 26 x 37 x 7 = 2897976900
Therefore, the lowest common multiple of 302,475,780,703,105 is 2897976900.
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.
302 x 475 x 780 x 703 x 105 = 8259234165000
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.
302 : 1, 2, 151, 302
475 : 1, 5, 19, 25, 95, 475
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
703 : 1, 19, 37, 703
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,475,780,703,105, is 1.
Now, the common factors can be found like this.
302:2x 151
475:5x 5x 19
780:2x 2x 3x 5x 13
703:19x 37
105:3x 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 3x 5x 5x 19 = 2850
Therefore, the value for common factors is 2850.
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 = 8259234165000/(1x2850)
LCM = 8259234165000/2850
LCM = 2897976900
Thus, we can understand that the LCM of 302,475,780,703,105 is 2897976900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 475, 780, 703, 105?
Answer: LCM of 302, 475, 780, 703, 105 is 2897976900.
2. How to calculate the LCM of 302, 475, 780, 703, 105?
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 302, 475, 780, 703, 105.
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}.