LCM of 969, 142, 105, 714, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 142, 105, 714, 102 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, 142, 105, 714, 102. So, keep reading to learn more.
Given numbers are 969,142,105,714,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,142,105,714,102 is 4815930.
Find LCM of 969,142,105,714,102 with Prime Factorization
| 2 | 969, 142, 105, 714, 102 |
| 3 | 969, 71, 105, 357, 51 |
| 7 | 323, 71, 35, 119, 17 |
| 17 | 323, 71, 5, 17, 17 |
| 19, 71, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 71 x 5 x 1 x 1 = 4815930
Therefore, the lowest common multiple of 969,142,105,714,102 is 4815930.
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 142 x 105 x 714 x 102 = 1052203650120
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
142 : 1, 2, 71, 142
105 : 1, 3, 5, 7, 15, 21, 35, 105
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,142,105,714,102, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
142:2x 71
105:3x 5x 7
714:2x 3x 7x 17
102:2x 3x 17
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 3x 7x 17x 17 = 218484
Therefore, the value for common factors is 218484.
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 = 1052203650120/(1x218484)
LCM = 1052203650120/218484
LCM = 4815930
Thus, we can understand that the LCM of 969,142,105,714,102 is 4815930.
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FAQs on LCM of 969, 142, 105, 714, 102
1. What is the LCM of 969, 142, 105, 714, 102?
Answer: LCM of 969, 142, 105, 714, 102 is 4815930.
2. How to calculate the LCM of 969, 142, 105, 714, 102?
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, 142, 105, 714, 102.
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}.