LCM of 416, 707, 269, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 707, 269, 346 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 416, 707, 269, 346. So, keep reading to learn more.
Given numbers are 416,707,269,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,707,269,346 is 13687090144.
Find LCM of 416,707,269,346 with Prime Factorization
| 2 | 416, 707, 269, 346 |
| 208, 707, 269, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 208 x 707 x 269 x 173 = 13687090144
Therefore, the lowest common multiple of 416,707,269,346 is 13687090144.
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.
416 x 707 x 269 x 346 = 27374180288
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
707 : 1, 7, 101, 707
269 : 1, 269
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,707,269,346, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
707:7x 101
269:269
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 27374180288/(1x2)
LCM = 27374180288/2
LCM = 13687090144
Thus, we can understand that the LCM of 416,707,269,346 is 13687090144.
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FAQs on LCM of 416, 707, 269, 346
1. What is the LCM of 416, 707, 269, 346?
Answer: LCM of 416, 707, 269, 346 is 13687090144.
2. How to calculate the LCM of 416, 707, 269, 346?
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 416, 707, 269, 346.
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}.