Find the LCM of 762, 525, 364, 318, 210 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 762, 525, 364, 318, 210. So, keep reading to learn more.
Given numbers are 762,525,364,318,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,525,364,318,210 is 183756300.
Find LCM of 762,525,364,318,210 with Prime Factorization
2 | 762, 525, 364, 318, 210 |
3 | 381, 525, 182, 159, 105 |
5 | 127, 175, 182, 53, 35 |
7 | 127, 7, 182, 53, 35 |
127, 1, 26, 53, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 127 x 1 x 26 x 53 x 5 = 183756300
Therefore, the lowest common multiple of 762,525,364,318,210 is 183756300.
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.
762 x 525 x 364 x 318 x 210 = 9724383396000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
318 : 1, 2, 3, 6, 53, 106, 159, 318
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,525,364,318,210, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
525:3x 5x 5x 7
364:2x 2x 7x 13
318:2x 3x 53
210:2x 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 2x 2x 3x 3x 3x 5x 7x 7 = 52920
Therefore, the value for common factors is 52920.
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 = 9724383396000/(1x52920)
LCM = 9724383396000/52920
LCM = 183756300
Thus, we can understand that the LCM of 762,525,364,318,210 is 183756300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 525, 364, 318, 210?
Answer: LCM of 762, 525, 364, 318, 210 is 183756300.
2. How to calculate the LCM of 762, 525, 364, 318, 210?
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 762, 525, 364, 318, 210.
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}.