LCM of 118, 761, 432, 382, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 761, 432, 382, 761 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 118, 761, 432, 382, 761. So, keep reading to learn more.
Given numbers are 118,761,432,382,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,761,432,382,761 is 3704706288.
Find LCM of 118,761,432,382,761 with Prime Factorization
| 2 | 118, 761, 432, 382, 761 |
| 761 | 59, 761, 216, 191, 761 |
| 59, 1, 216, 191, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 761 x 59 x 1 x 216 x 191 x 1 = 3704706288
Therefore, the lowest common multiple of 118,761,432,382,761 is 3704706288.
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.
118 x 761 x 432 x 382 x 761 = 11277125940672
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.
118 : 1, 2, 59, 118
761 : 1, 761
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
382 : 1, 2, 191, 382
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,761,432,382,761, is 1.
Now, the common factors can be found like this.
118:2x 59
761:761
432:2x 2x 2x 2x 3x 3x 3
382:2x 191
761:761
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 761 = 3044
Therefore, the value for common factors is 3044.
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 = 11277125940672/(1x3044)
LCM = 11277125940672/3044
LCM = 3704706288
Thus, we can understand that the LCM of 118,761,432,382,761 is 3704706288.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 761, 432, 382, 761
1. What is the LCM of 118, 761, 432, 382, 761?
Answer: LCM of 118, 761, 432, 382, 761 is 3704706288.
2. How to calculate the LCM of 118, 761, 432, 382, 761?
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 118, 761, 432, 382, 761.
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}.