LCM of 936, 332, 921, 174, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 332, 921, 174, 921 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 936, 332, 921, 174, 921. So, keep reading to learn more.
Given numbers are 936,332,921,174,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,332,921,174,921 is 691656264.
Find LCM of 936,332,921,174,921 with Prime Factorization
| 2 | 936, 332, 921, 174, 921 |
| 2 | 468, 166, 921, 87, 921 |
| 3 | 234, 83, 921, 87, 921 |
| 307 | 78, 83, 307, 29, 307 |
| 78, 83, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 307 x 78 x 83 x 1 x 29 x 1 = 691656264
Therefore, the lowest common multiple of 936,332,921,174,921 is 691656264.
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.
936 x 332 x 921 x 174 x 921 = 45865110178368
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.
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
332 : 1, 2, 4, 83, 166, 332
921 : 1, 3, 307, 921
174 : 1, 2, 3, 6, 29, 58, 87, 174
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,332,921,174,921, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
332:2x 2x 83
921:3x 307
174:2x 3x 29
921:3x 307
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 3x 3x 3x 307 = 66312
Therefore, the value for common factors is 66312.
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 = 45865110178368/(1x66312)
LCM = 45865110178368/66312
LCM = 691656264
Thus, we can understand that the LCM of 936,332,921,174,921 is 691656264.
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FAQs on LCM of 936, 332, 921, 174, 921
1. What is the LCM of 936, 332, 921, 174, 921?
Answer: LCM of 936, 332, 921, 174, 921 is 691656264.
2. How to calculate the LCM of 936, 332, 921, 174, 921?
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 936, 332, 921, 174, 921.
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}.