LCM of 724, 748, 784, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 748, 784, 281 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 724, 748, 784, 281. So, keep reading to learn more.
Given numbers are 724,748,784,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,748,784,281 is 7456629488.
Find LCM of 724,748,784,281 with Prime Factorization
| 2 | 724, 748, 784, 281 |
| 2 | 362, 374, 392, 281 |
| 181, 187, 196, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 187 x 196 x 281 = 7456629488
Therefore, the lowest common multiple of 724,748,784,281 is 7456629488.
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.
724 x 748 x 784 x 281 = 119306071808
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.
724 : 1, 2, 4, 181, 362, 724
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,748,784,281, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
748:2x 2x 11x 17
784:2x 2x 2x 2x 7x 7
281:281
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 2 = 16
Therefore, the value for common factors is 16.
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 = 119306071808/(1x16)
LCM = 119306071808/16
LCM = 7456629488
Thus, we can understand that the LCM of 724,748,784,281 is 7456629488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 748, 784, 281
1. What is the LCM of 724, 748, 784, 281?
Answer: LCM of 724, 748, 784, 281 is 7456629488.
2. How to calculate the LCM of 724, 748, 784, 281?
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 724, 748, 784, 281.
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}.