LCM of 756, 928, 172, 841, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 928, 172, 841, 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 756, 928, 172, 841, 347. So, keep reading to learn more.
Given numbers are 756,928,172,841,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,928,172,841,347 is 75893696928.
Find LCM of 756,928,172,841,347 with Prime Factorization
| 2 | 756, 928, 172, 841, 347 |
| 2 | 378, 464, 86, 841, 347 |
| 29 | 189, 232, 43, 841, 347 |
| 189, 8, 43, 29, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 189 x 8 x 43 x 29 x 347 = 75893696928
Therefore, the lowest common multiple of 756,928,172,841,347 is 75893696928.
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.
756 x 928 x 172 x 841 x 347 = 35214675374592
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
172 : 1, 2, 4, 43, 86, 172
841 : 1, 29, 841
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,928,172,841,347, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
928:2x 2x 2x 2x 2x 29
172:2x 2x 43
841:29x 29
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 2x 29 = 464
Therefore, the value for common factors is 464.
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 = 35214675374592/(1x464)
LCM = 35214675374592/464
LCM = 75893696928
Thus, we can understand that the LCM of 756,928,172,841,347 is 75893696928.
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FAQs on LCM of 756, 928, 172, 841, 347
1. What is the LCM of 756, 928, 172, 841, 347?
Answer: LCM of 756, 928, 172, 841, 347 is 75893696928.
2. How to calculate the LCM of 756, 928, 172, 841, 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 756, 928, 172, 841, 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}.