LCM of 105, 429, 915, 978, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 429, 915, 978, 269 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 105, 429, 915, 978, 269. So, keep reading to learn more.
Given numbers are 105,429,915,978,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,429,915,978,269 is 80320250010.
Find LCM of 105,429,915,978,269 with Prime Factorization
| 3 | 105, 429, 915, 978, 269 |
| 5 | 35, 143, 305, 326, 269 |
| 7, 143, 61, 326, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 143 x 61 x 326 x 269 = 80320250010
Therefore, the lowest common multiple of 105,429,915,978,269 is 80320250010.
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.
105 x 429 x 915 x 978 x 269 = 10843233751350
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
429 : 1, 3, 11, 13, 33, 39, 143, 429
915 : 1, 3, 5, 15, 61, 183, 305, 915
978 : 1, 2, 3, 6, 163, 326, 489, 978
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,429,915,978,269, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
429:3x 11x 13
915:3x 5x 61
978:2x 3x 163
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 10843233751350/(1x135)
LCM = 10843233751350/135
LCM = 80320250010
Thus, we can understand that the LCM of 105,429,915,978,269 is 80320250010.
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FAQs on LCM of 105, 429, 915, 978, 269
1. What is the LCM of 105, 429, 915, 978, 269?
Answer: LCM of 105, 429, 915, 978, 269 is 80320250010.
2. How to calculate the LCM of 105, 429, 915, 978, 269?
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 105, 429, 915, 978, 269.
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}.