LCM of 671, 927, 700, 346, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 927, 700, 346, 916 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 671, 927, 700, 346, 916. So, keep reading to learn more.
Given numbers are 671,927,700,346,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,927,700,346,916 is 17249713242300.
Find LCM of 671,927,700,346,916 with Prime Factorization
| 2 | 671, 927, 700, 346, 916 |
| 2 | 671, 927, 350, 173, 458 |
| 671, 927, 175, 173, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 671 x 927 x 175 x 173 x 229 = 17249713242300
Therefore, the lowest common multiple of 671,927,700,346,916 is 17249713242300.
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.
671 x 927 x 700 x 346 x 916 = 137997705938400
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.
671 : 1, 11, 61, 671
927 : 1, 3, 9, 103, 309, 927
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
346 : 1, 2, 173, 346
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,927,700,346,916, is 1.
Now, the common factors can be found like this.
671:11x 61
927:3x 3x 103
700:2x 2x 5x 5x 7
346:2x 173
916:2x 2x 229
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 2 = 8
Therefore, the value for common factors is 8.
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 = 137997705938400/(1x8)
LCM = 137997705938400/8
LCM = 17249713242300
Thus, we can understand that the LCM of 671,927,700,346,916 is 17249713242300.
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FAQs on LCM of 671, 927, 700, 346, 916
1. What is the LCM of 671, 927, 700, 346, 916?
Answer: LCM of 671, 927, 700, 346, 916 is 17249713242300.
2. How to calculate the LCM of 671, 927, 700, 346, 916?
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 671, 927, 700, 346, 916.
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}.