LCM of 901, 788, 474, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 788, 474, 748 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 901, 788, 474, 748. So, keep reading to learn more.
Given numbers are 901,788,474,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,788,474,748 is 1850938716.
Find LCM of 901,788,474,748 with Prime Factorization
| 2 | 901, 788, 474, 748 |
| 2 | 901, 394, 237, 374 |
| 17 | 901, 197, 237, 187 |
| 53, 197, 237, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 53 x 197 x 237 x 11 = 1850938716
Therefore, the lowest common multiple of 901,788,474,748 is 1850938716.
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.
901 x 788 x 474 x 748 = 251727665376
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.
901 : 1, 17, 53, 901
788 : 1, 2, 4, 197, 394, 788
474 : 1, 2, 3, 6, 79, 158, 237, 474
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,788,474,748, is 1.
Now, the common factors can be found like this.
901:17x 53
788:2x 2x 197
474:2x 3x 79
748:2x 2x 11x 17
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 17 = 136
Therefore, the value for common factors is 136.
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 = 251727665376/(1x136)
LCM = 251727665376/136
LCM = 1850938716
Thus, we can understand that the LCM of 901,788,474,748 is 1850938716.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 901, 788, 474, 748
1. What is the LCM of 901, 788, 474, 748?
Answer: LCM of 901, 788, 474, 748 is 1850938716.
2. How to calculate the LCM of 901, 788, 474, 748?
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 901, 788, 474, 748.
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}.