Find the LCM of 978, 938, 869, 869, 583 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 978, 938, 869, 869, 583. So, keep reading to learn more.
Given numbers are 978,938,869,869,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,938,869,869,583 is 21125516874.
Find LCM of 978,938,869,869,583 with Prime Factorization
2 | 978, 938, 869, 869, 583 |
11 | 489, 469, 869, 869, 583 |
79 | 489, 469, 79, 79, 53 |
489, 469, 1, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 79 x 489 x 469 x 1 x 1 x 53 = 21125516874
Therefore, the lowest common multiple of 978,938,869,869,583 is 21125516874.
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.
978 x 938 x 869 x 869 x 583 = 403877631597132
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
938 : 1, 2, 7, 14, 67, 134, 469, 938
869 : 1, 11, 79, 869
869 : 1, 11, 79, 869
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,938,869,869,583, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
938:2x 7x 67
869:11x 79
869:11x 79
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 79 = 19118
Therefore, the value for common factors is 19118.
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 = 403877631597132/(1x19118)
LCM = 403877631597132/19118
LCM = 21125516874
Thus, we can understand that the LCM of 978,938,869,869,583 is 21125516874.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 938, 869, 869, 583?
Answer: LCM of 978, 938, 869, 869, 583 is 21125516874.
2. How to calculate the LCM of 978, 938, 869, 869, 583?
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 978, 938, 869, 869, 583.
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}.