LCM of 269, 269, 861, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 269, 861, 735 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 269, 269, 861, 735. So, keep reading to learn more.
Given numbers are 269,269,861,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,269,861,735 is 8106315.
Find LCM of 269,269,861,735 with Prime Factorization
| 3 | 269, 269, 861, 735 |
| 7 | 269, 269, 287, 245 |
| 269 | 269, 269, 41, 35 |
| 1, 1, 41, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 269 x 1 x 1 x 41 x 35 = 8106315
Therefore, the lowest common multiple of 269,269,861,735 is 8106315.
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.
269 x 269 x 861 x 735 = 45792573435
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.
269 : 1, 269
269 : 1, 269
861 : 1, 3, 7, 21, 41, 123, 287, 861
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,269,861,735, is 1.
Now, the common factors can be found like this.
269:269
269:269
861:3x 7x 41
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 269 = 5649
Therefore, the value for common factors is 5649.
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 = 45792573435/(1x5649)
LCM = 45792573435/5649
LCM = 8106315
Thus, we can understand that the LCM of 269,269,861,735 is 8106315.
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FAQs on LCM of 269, 269, 861, 735
1. What is the LCM of 269, 269, 861, 735?
Answer: LCM of 269, 269, 861, 735 is 8106315.
2. How to calculate the LCM of 269, 269, 861, 735?
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 269, 269, 861, 735.
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}.