LCM of 916, 234, 210, 660, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 234, 210, 660, 936 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 916, 234, 210, 660, 936. So, keep reading to learn more.
Given numbers are 916,234,210,660,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,234,210,660,936 is 82522440.
Find LCM of 916,234,210,660,936 with Prime Factorization
| 2 | 916, 234, 210, 660, 936 |
| 2 | 458, 117, 105, 330, 468 |
| 3 | 229, 117, 105, 165, 234 |
| 3 | 229, 39, 35, 55, 78 |
| 5 | 229, 13, 35, 55, 26 |
| 13 | 229, 13, 7, 11, 26 |
| 229, 1, 7, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 229 x 1 x 7 x 11 x 2 = 82522440
Therefore, the lowest common multiple of 916,234,210,660,936 is 82522440.
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.
916 x 234 x 210 x 660 x 936 = 27806761382400
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.
916 : 1, 2, 4, 229, 458, 916
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,234,210,660,936, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
234:2x 3x 3x 13
210:2x 3x 5x 7
660:2x 2x 3x 5x 11
936:2x 2x 2x 3x 3x 13
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 2x 3x 3x 3x 3x 5x 13 = 168480
Therefore, the value for common factors is 168480.
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 = 27806761382400/(2x168480)
LCM = 27806761382400/336960
LCM = 82522440
Thus, we can understand that the LCM of 916,234,210,660,936 is 82522440.
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FAQs on LCM of 916, 234, 210, 660, 936
1. What is the LCM of 916, 234, 210, 660, 936?
Answer: LCM of 916, 234, 210, 660, 936 is 82522440.
2. How to calculate the LCM of 916, 234, 210, 660, 936?
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 916, 234, 210, 660, 936.
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}.