LCM of 362, 888, 740, 695, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 888, 740, 695, 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 362, 888, 740, 695, 764. So, keep reading to learn more.
Given numbers are 362,888,740,695,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,888,740,695,764 is 21335838360.
Find LCM of 362,888,740,695,764 with Prime Factorization
| 2 | 362, 888, 740, 695, 764 |
| 2 | 181, 444, 370, 695, 382 |
| 5 | 181, 222, 185, 695, 191 |
| 37 | 181, 222, 37, 139, 191 |
| 181, 6, 1, 139, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 37 x 181 x 6 x 1 x 139 x 191 = 21335838360
Therefore, the lowest common multiple of 362,888,740,695,764 is 21335838360.
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.
362 x 888 x 740 x 695 x 764 = 126308163091200
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.
362 : 1, 2, 181, 362
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
695 : 1, 5, 139, 695
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 362,888,740,695,764, is 1.
Now, the common factors can be found like this.
362:2x 181
888:2x 2x 2x 3x 37
740:2x 2x 5x 37
695:5x 139
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 2x 2x 5x 37 = 5920
Therefore, the value for common factors is 5920.
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 = 126308163091200/(1x5920)
LCM = 126308163091200/5920
LCM = 21335838360
Thus, we can understand that the LCM of 362,888,740,695,764 is 21335838360.
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FAQs on LCM of 362, 888, 740, 695, 764
1. What is the LCM of 362, 888, 740, 695, 764?
Answer: LCM of 362, 888, 740, 695, 764 is 21335838360.
2. How to calculate the LCM of 362, 888, 740, 695, 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 362, 888, 740, 695, 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}.