LCM of 913, 196, 140, 936, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 196, 140, 936, 735 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 913, 196, 140, 936, 735. So, keep reading to learn more.
Given numbers are 913,196,140,936,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,196,140,936,735 is 209369160.
Find LCM of 913,196,140,936,735 with Prime Factorization
| 2 | 913, 196, 140, 936, 735 |
| 2 | 913, 98, 70, 468, 735 |
| 3 | 913, 49, 35, 234, 735 |
| 5 | 913, 49, 35, 78, 245 |
| 7 | 913, 49, 7, 78, 49 |
| 7 | 913, 1, 7, 78, 7 |
| 913, 1, 1, 78, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 913 x 1 x 1 x 78 x 1 = 209369160
Therefore, the lowest common multiple of 913,196,140,936,735 is 209369160.
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.
913 x 196 x 140 x 936 x 735 = 17235269251200
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.
913 : 1, 11, 83, 913
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,196,140,936,735, is 1.
Now, the common factors can be found like this.
913:11x 83
196:2x 2x 7x 7
140:2x 2x 5x 7
936:2x 2x 2x 3x 3x 13
735:3x 5x 7x 7
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 3x 5x 7x 7x 7 = 82320
Therefore, the value for common factors is 82320.
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 = 17235269251200/(1x82320)
LCM = 17235269251200/82320
LCM = 209369160
Thus, we can understand that the LCM of 913,196,140,936,735 is 209369160.
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FAQs on LCM of 913, 196, 140, 936, 735
1. What is the LCM of 913, 196, 140, 936, 735?
Answer: LCM of 913, 196, 140, 936, 735 is 209369160.
2. How to calculate the LCM of 913, 196, 140, 936, 735?
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 913, 196, 140, 936, 735.
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}.