LCM of 224, 782, 576, 316, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 782, 576, 316, 677 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 224, 782, 576, 316, 677. So, keep reading to learn more.
Given numbers are 224,782,576,316,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,782,576,316,677 is 84316591296.
Find LCM of 224,782,576,316,677 with Prime Factorization
| 2 | 224, 782, 576, 316, 677 |
| 2 | 112, 391, 288, 158, 677 |
| 2 | 56, 391, 144, 79, 677 |
| 2 | 28, 391, 72, 79, 677 |
| 2 | 14, 391, 36, 79, 677 |
| 7, 391, 18, 79, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 391 x 18 x 79 x 677 = 84316591296
Therefore, the lowest common multiple of 224,782,576,316,677 is 84316591296.
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.
224 x 782 x 576 x 316 x 677 = 21585047371776
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
782 : 1, 2, 17, 23, 34, 46, 391, 782
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
316 : 1, 2, 4, 79, 158, 316
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,782,576,316,677, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
782:2x 17x 23
576:2x 2x 2x 2x 2x 2x 3x 3
316:2x 2x 79
677:677
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 21585047371776/(1x256)
LCM = 21585047371776/256
LCM = 84316591296
Thus, we can understand that the LCM of 224,782,576,316,677 is 84316591296.
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FAQs on LCM of 224, 782, 576, 316, 677
1. What is the LCM of 224, 782, 576, 316, 677?
Answer: LCM of 224, 782, 576, 316, 677 is 84316591296.
2. How to calculate the LCM of 224, 782, 576, 316, 677?
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 224, 782, 576, 316, 677.
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}.