LCM of 473, 348, 772, 749, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 348, 772, 749, 261 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 473, 348, 772, 749, 261. So, keep reading to learn more.
Given numbers are 473,348,772,749,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,348,772,749,261 is 71383981284.
Find LCM of 473,348,772,749,261 with Prime Factorization
| 2 | 473, 348, 772, 749, 261 |
| 2 | 473, 174, 386, 749, 261 |
| 3 | 473, 87, 193, 749, 261 |
| 29 | 473, 29, 193, 749, 87 |
| 473, 1, 193, 749, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 473 x 1 x 193 x 749 x 3 = 71383981284
Therefore, the lowest common multiple of 473,348,772,749,261 is 71383981284.
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.
473 x 348 x 772 x 749 x 261 = 24841625486832
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.
473 : 1, 11, 43, 473
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
772 : 1, 2, 4, 193, 386, 772
749 : 1, 7, 107, 749
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,348,772,749,261, is 1.
Now, the common factors can be found like this.
473:11x 43
348:2x 2x 3x 29
772:2x 2x 193
749:7x 107
261:3x 3x 29
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 24841625486832/(1x348)
LCM = 24841625486832/348
LCM = 71383981284
Thus, we can understand that the LCM of 473,348,772,749,261 is 71383981284.
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FAQs on LCM of 473, 348, 772, 749, 261
1. What is the LCM of 473, 348, 772, 749, 261?
Answer: LCM of 473, 348, 772, 749, 261 is 71383981284.
2. How to calculate the LCM of 473, 348, 772, 749, 261?
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 473, 348, 772, 749, 261.
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}.