LCM of 880, 538, 476, 269, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 538, 476, 269, 347 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 880, 538, 476, 269, 347. So, keep reading to learn more.
Given numbers are 880,538,476,269,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,538,476,269,347 is 9774878960.
Find LCM of 880,538,476,269,347 with Prime Factorization
| 2 | 880, 538, 476, 269, 347 |
| 2 | 440, 269, 238, 269, 347 |
| 269 | 220, 269, 119, 269, 347 |
| 220, 1, 119, 1, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 269 x 220 x 1 x 119 x 1 x 347 = 9774878960
Therefore, the lowest common multiple of 880,538,476,269,347 is 9774878960.
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.
880 x 538 x 476 x 269 x 347 = 21035539521920
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
538 : 1, 2, 269, 538
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
269 : 1, 269
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,538,476,269,347, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
538:2x 269
476:2x 2x 7x 17
269:269
347:347
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 269 = 2152
Therefore, the value for common factors is 2152.
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 = 21035539521920/(1x2152)
LCM = 21035539521920/2152
LCM = 9774878960
Thus, we can understand that the LCM of 880,538,476,269,347 is 9774878960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 880, 538, 476, 269, 347
1. What is the LCM of 880, 538, 476, 269, 347?
Answer: LCM of 880, 538, 476, 269, 347 is 9774878960.
2. How to calculate the LCM of 880, 538, 476, 269, 347?
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 880, 538, 476, 269, 347.
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}.