LCM of 834, 692, 716, 936, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 692, 716, 936, 114 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 834, 692, 716, 936, 114. So, keep reading to learn more.
Given numbers are 834,692,716,936,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,692,716,936,114 is 76549680792.
Find LCM of 834,692,716,936,114 with Prime Factorization
| 2 | 834, 692, 716, 936, 114 |
| 2 | 417, 346, 358, 468, 57 |
| 3 | 417, 173, 179, 234, 57 |
| 139, 173, 179, 78, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 173 x 179 x 78 x 19 = 76549680792
Therefore, the lowest common multiple of 834,692,716,936,114 is 76549680792.
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.
834 x 692 x 716 x 936 x 114 = 44092616136192
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
692 : 1, 2, 4, 173, 346, 692
716 : 1, 2, 4, 179, 358, 716
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
114 : 1, 2, 3, 6, 19, 38, 57, 114
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,692,716,936,114, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
692:2x 2x 173
716:2x 2x 179
936:2x 2x 2x 3x 3x 13
114:2x 3x 19
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 3 = 288
Therefore, the value for common factors is 288.
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 = 44092616136192/(2x288)
LCM = 44092616136192/576
LCM = 76549680792
Thus, we can understand that the LCM of 834,692,716,936,114 is 76549680792.
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FAQs on LCM of 834, 692, 716, 936, 114
1. What is the LCM of 834, 692, 716, 936, 114?
Answer: LCM of 834, 692, 716, 936, 114 is 76549680792.
2. How to calculate the LCM of 834, 692, 716, 936, 114?
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 834, 692, 716, 936, 114.
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}.