LCM of 377, 600, 414, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 600, 414, 322 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 377, 600, 414, 322. So, keep reading to learn more.
Given numbers are 377,600,414,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,600,414,322 is 109254600.
Find LCM of 377,600,414,322 with Prime Factorization
| 2 | 377, 600, 414, 322 |
| 3 | 377, 300, 207, 161 |
| 23 | 377, 100, 69, 161 |
| 377, 100, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 377 x 100 x 3 x 7 = 109254600
Therefore, the lowest common multiple of 377,600,414,322 is 109254600.
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.
377 x 600 x 414 x 322 = 30154269600
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.
377 : 1, 13, 29, 377
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,600,414,322, is 1.
Now, the common factors can be found like this.
377:13x 29
600:2x 2x 2x 3x 5x 5
414:2x 3x 3x 23
322:2x 7x 23
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 23 = 276
Therefore, the value for common factors is 276.
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 = 30154269600/(1x276)
LCM = 30154269600/276
LCM = 109254600
Thus, we can understand that the LCM of 377,600,414,322 is 109254600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 600, 414, 322
1. What is the LCM of 377, 600, 414, 322?
Answer: LCM of 377, 600, 414, 322 is 109254600.
2. How to calculate the LCM of 377, 600, 414, 322?
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 377, 600, 414, 322.
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}.