Find the LCM of 478, 902, 224, 273, 768 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 478, 902, 224, 273, 768. So, keep reading to learn more.
Given numbers are 478,902,224,273,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,902,224,273,768 is 7533157632.
Find LCM of 478,902,224,273,768 with Prime Factorization
2 | 478, 902, 224, 273, 768 |
2 | 239, 451, 112, 273, 384 |
2 | 239, 451, 56, 273, 192 |
2 | 239, 451, 28, 273, 96 |
2 | 239, 451, 14, 273, 48 |
3 | 239, 451, 7, 273, 24 |
7 | 239, 451, 7, 91, 8 |
239, 451, 1, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 239 x 451 x 1 x 13 x 8 = 7533157632
Therefore, the lowest common multiple of 478,902,224,273,768 is 7533157632.
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.
478 x 902 x 224 x 273 x 768 = 20249127714816
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.
478 : 1, 2, 239, 478
902 : 1, 2, 11, 22, 41, 82, 451, 902
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
273 : 1, 3, 7, 13, 21, 39, 91, 273
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,902,224,273,768, is 1.
Now, the common factors can be found like this.
478:2x 239
902:2x 11x 41
224:2x 2x 2x 2x 2x 7
273:3x 7x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 20249127714816/(1x2688)
LCM = 20249127714816/2688
LCM = 7533157632
Thus, we can understand that the LCM of 478,902,224,273,768 is 7533157632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 902, 224, 273, 768?
Answer: LCM of 478, 902, 224, 273, 768 is 7533157632.
2. How to calculate the LCM of 478, 902, 224, 273, 768?
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 478, 902, 224, 273, 768.
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}.