LCM of 120, 476, 724, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 476, 724, 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 120, 476, 724, 224. So, keep reading to learn more.
Given numbers are 120,476,724,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,476,724,224 is 10338720.
Find LCM of 120,476,724,224 with Prime Factorization
| 2 | 120, 476, 724, 224 |
| 2 | 60, 238, 362, 112 |
| 2 | 30, 119, 181, 56 |
| 7 | 15, 119, 181, 28 |
| 15, 17, 181, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 15 x 17 x 181 x 4 = 10338720
Therefore, the lowest common multiple of 120,476,724,224 is 10338720.
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.
120 x 476 x 724 x 224 = 9263493120
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
724 : 1, 2, 4, 181, 362, 724
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,476,724,224, is 4.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
476:2x 2x 7x 17
724:2x 2x 181
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 9263493120/(4x224)
LCM = 9263493120/896
LCM = 10338720
Thus, we can understand that the LCM of 120,476,724,224 is 10338720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 120, 476, 724, 224
1. What is the LCM of 120, 476, 724, 224?
Answer: LCM of 120, 476, 724, 224 is 10338720.
2. How to calculate the LCM of 120, 476, 724, 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 120, 476, 724, 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}.