LCM of 632, 921, 474, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 921, 474, 764 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 632, 921, 474, 764. So, keep reading to learn more.
Given numbers are 632,921,474,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,921,474,764 is 111175752.
Find LCM of 632,921,474,764 with Prime Factorization
| 2 | 632, 921, 474, 764 |
| 2 | 316, 921, 237, 382 |
| 3 | 158, 921, 237, 191 |
| 79 | 158, 307, 79, 191 |
| 2, 307, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 2 x 307 x 1 x 191 = 111175752
Therefore, the lowest common multiple of 632,921,474,764 is 111175752.
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.
632 x 921 x 474 x 764 = 210789225792
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
921 : 1, 3, 307, 921
474 : 1, 2, 3, 6, 79, 158, 237, 474
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,921,474,764, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
921:3x 307
474:2x 3x 79
764:2x 2x 191
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 79 = 1896
Therefore, the value for common factors is 1896.
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 = 210789225792/(1x1896)
LCM = 210789225792/1896
LCM = 111175752
Thus, we can understand that the LCM of 632,921,474,764 is 111175752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 632, 921, 474, 764
1. What is the LCM of 632, 921, 474, 764?
Answer: LCM of 632, 921, 474, 764 is 111175752.
2. How to calculate the LCM of 632, 921, 474, 764?
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 632, 921, 474, 764.
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}.