LCM of 940, 519, 346, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 519, 346, 224 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 940, 519, 346, 224. So, keep reading to learn more.
Given numbers are 940,519,346,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,519,346,224 is 27320160.
Find LCM of 940,519,346,224 with Prime Factorization
| 2 | 940, 519, 346, 224 |
| 2 | 470, 519, 173, 112 |
| 173 | 235, 519, 173, 56 |
| 235, 3, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 235 x 3 x 1 x 56 = 27320160
Therefore, the lowest common multiple of 940,519,346,224 is 27320160.
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.
940 x 519 x 346 x 224 = 37811101440
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
519 : 1, 3, 173, 519
346 : 1, 2, 173, 346
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,519,346,224, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
519:3x 173
346:2x 173
224:2x 2x 2x 2x 2x 7
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 2x 173 = 1384
Therefore, the value for common factors is 1384.
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 = 37811101440/(1x1384)
LCM = 37811101440/1384
LCM = 27320160
Thus, we can understand that the LCM of 940,519,346,224 is 27320160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 940, 519, 346, 224
1. What is the LCM of 940, 519, 346, 224?
Answer: LCM of 940, 519, 346, 224 is 27320160.
2. How to calculate the LCM of 940, 519, 346, 224?
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 940, 519, 346, 224.
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}.