Find the LCM of 701, 780, 420, 198, 489 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 701, 780, 420, 198, 489. So, keep reading to learn more.
Given numbers are 701,780,420,198,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,780,420,198,489 is 20587907340.
Find LCM of 701,780,420,198,489 with Prime Factorization
2 | 701, 780, 420, 198, 489 |
2 | 701, 390, 210, 99, 489 |
3 | 701, 195, 105, 99, 489 |
5 | 701, 65, 35, 33, 163 |
701, 13, 7, 33, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 701 x 13 x 7 x 33 x 163 = 20587907340
Therefore, the lowest common multiple of 701,780,420,198,489 is 20587907340.
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.
701 x 780 x 420 x 198 x 489 = 22234939927200
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.
701 : 1, 701
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
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
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,780,420,198,489, is 1.
Now, the common factors can be found like this.
701:701
780:2x 2x 3x 5x 13
420:2x 2x 3x 5x 7
198:2x 3x 3x 11
489:3x 163
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 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 22234939927200/(1x1080)
LCM = 22234939927200/1080
LCM = 20587907340
Thus, we can understand that the LCM of 701,780,420,198,489 is 20587907340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 780, 420, 198, 489?
Answer: LCM of 701, 780, 420, 198, 489 is 20587907340.
2. How to calculate the LCM of 701, 780, 420, 198, 489?
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 701, 780, 420, 198, 489.
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}.