LCM of 969, 102, 416, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 102, 416, 639 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 969, 102, 416, 639. So, keep reading to learn more.
Given numbers are 969,102,416,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,102,416,639 is 85861152.
Find LCM of 969,102,416,639 with Prime Factorization
| 2 | 969, 102, 416, 639 |
| 3 | 969, 51, 208, 639 |
| 17 | 323, 17, 208, 213 |
| 19, 1, 208, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 208 x 213 = 85861152
Therefore, the lowest common multiple of 969,102,416,639 is 85861152.
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.
969 x 102 x 416 x 639 = 26273512512
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
102 : 1, 2, 3, 6, 17, 34, 51, 102
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,102,416,639, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
102:2x 3x 17
416:2x 2x 2x 2x 2x 13
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 26273512512/(1x306)
LCM = 26273512512/306
LCM = 85861152
Thus, we can understand that the LCM of 969,102,416,639 is 85861152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 102, 416, 639
1. What is the LCM of 969, 102, 416, 639?
Answer: LCM of 969, 102, 416, 639 is 85861152.
2. How to calculate the LCM of 969, 102, 416, 639?
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 969, 102, 416, 639.
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}.