LCM of 471, 801, 616, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 801, 616, 752 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 471, 801, 616, 752. So, keep reading to learn more.
Given numbers are 471,801,616,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,801,616,752 is 7281833328.
Find LCM of 471,801,616,752 with Prime Factorization
| 2 | 471, 801, 616, 752 |
| 2 | 471, 801, 308, 376 |
| 2 | 471, 801, 154, 188 |
| 3 | 471, 801, 77, 94 |
| 157, 267, 77, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 157 x 267 x 77 x 94 = 7281833328
Therefore, the lowest common multiple of 471,801,616,752 is 7281833328.
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.
471 x 801 x 616 x 752 = 174763999872
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.
471 : 1, 3, 157, 471
801 : 1, 3, 9, 89, 267, 801
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,801,616,752, is 1.
Now, the common factors can be found like this.
471:3x 157
801:3x 3x 89
616:2x 2x 2x 7x 11
752:2x 2x 2x 2x 47
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 3 = 24
Therefore, the value for common factors is 24.
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 = 174763999872/(1x24)
LCM = 174763999872/24
LCM = 7281833328
Thus, we can understand that the LCM of 471,801,616,752 is 7281833328.
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FAQs on LCM of 471, 801, 616, 752
1. What is the LCM of 471, 801, 616, 752?
Answer: LCM of 471, 801, 616, 752 is 7281833328.
2. How to calculate the LCM of 471, 801, 616, 752?
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 471, 801, 616, 752.
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}.