Find the LCM of 714, 820, 988, 780 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 714, 820, 988, 780. So, keep reading to learn more.
Given numbers are 714,820,988,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,820,988,780 is 72306780.
Find LCM of 714,820,988,780 with Prime Factorization
2 | 714, 820, 988, 780 |
2 | 357, 410, 494, 390 |
3 | 357, 205, 247, 195 |
5 | 119, 205, 247, 65 |
13 | 119, 41, 247, 13 |
119, 41, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 119 x 41 x 19 x 1 = 72306780
Therefore, the lowest common multiple of 714,820,988,780 is 72306780.
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.
714 x 820 x 988 x 780 = 451194307200
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,820,988,780, is 2.
Now, the common factors can be found like this.
714:2x 3x 7x 17
820:2x 2x 5x 41
988:2x 2x 13x 19
780:2x 2x 3x 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 2x 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 451194307200/(2x3120)
LCM = 451194307200/6240
LCM = 72306780
Thus, we can understand that the LCM of 714,820,988,780 is 72306780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 820, 988, 780?
Answer: LCM of 714, 820, 988, 780 is 72306780.
2. How to calculate the LCM of 714, 820, 988, 780?
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 714, 820, 988, 780.
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}.