LCM of 759, 968, 924, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 968, 924, 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 759, 968, 924, 489. So, keep reading to learn more.
Given numbers are 759,968,924,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,968,924,489 is 76209672.
Find LCM of 759,968,924,489 with Prime Factorization
| 2 | 759, 968, 924, 489 |
| 2 | 759, 484, 462, 489 |
| 3 | 759, 242, 231, 489 |
| 11 | 253, 242, 77, 163 |
| 23, 22, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 22 x 7 x 163 = 76209672
Therefore, the lowest common multiple of 759,968,924,489 is 76209672.
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.
759 x 968 x 924 x 489 = 331969331232
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,968,924,489, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
968:2x 2x 2x 11x 11
924:2x 2x 3x 7x 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 3x 3x 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 331969331232/(1x4356)
LCM = 331969331232/4356
LCM = 76209672
Thus, we can understand that the LCM of 759,968,924,489 is 76209672.
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FAQs on LCM of 759, 968, 924, 489
1. What is the LCM of 759, 968, 924, 489?
Answer: LCM of 759, 968, 924, 489 is 76209672.
2. How to calculate the LCM of 759, 968, 924, 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 759, 968, 924, 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}.