LCM of 708, 286, 177, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 286, 177, 744 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 708, 286, 177, 744. So, keep reading to learn more.
Given numbers are 708,286,177,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,286,177,744 is 6277128.
Find LCM of 708,286,177,744 with Prime Factorization
| 2 | 708, 286, 177, 744 |
| 2 | 354, 143, 177, 372 |
| 3 | 177, 143, 177, 186 |
| 59 | 59, 143, 59, 62 |
| 1, 143, 1, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 1 x 143 x 1 x 62 = 6277128
Therefore, the lowest common multiple of 708,286,177,744 is 6277128.
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.
708 x 286 x 177 x 744 = 26665239744
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
286 : 1, 2, 11, 13, 22, 26, 143, 286
177 : 1, 3, 59, 177
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,286,177,744, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
286:2x 11x 13
177:3x 59
744:2x 2x 2x 3x 31
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 59 = 4248
Therefore, the value for common factors is 4248.
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 = 26665239744/(1x4248)
LCM = 26665239744/4248
LCM = 6277128
Thus, we can understand that the LCM of 708,286,177,744 is 6277128.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 708, 286, 177, 744
1. What is the LCM of 708, 286, 177, 744?
Answer: LCM of 708, 286, 177, 744 is 6277128.
2. How to calculate the LCM of 708, 286, 177, 744?
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 708, 286, 177, 744.
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}.