LCM of 291, 744, 527, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 744, 527, 238 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 291, 744, 527, 238. So, keep reading to learn more.
Given numbers are 291,744,527,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,744,527,238 is 8587992.
Find LCM of 291,744,527,238 with Prime Factorization
| 2 | 291, 744, 527, 238 |
| 3 | 291, 372, 527, 119 |
| 17 | 97, 124, 527, 119 |
| 31 | 97, 124, 31, 7 |
| 97, 4, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 31 x 97 x 4 x 1 x 7 = 8587992
Therefore, the lowest common multiple of 291,744,527,238 is 8587992.
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.
291 x 744 x 527 x 238 = 27155230704
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.
291 : 1, 3, 97, 291
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
527 : 1, 17, 31, 527
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,744,527,238, is 1.
Now, the common factors can be found like this.
291:3x 97
744:2x 2x 2x 3x 31
527:17x 31
238:2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 31 = 3162
Therefore, the value for common factors is 3162.
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 = 27155230704/(1x3162)
LCM = 27155230704/3162
LCM = 8587992
Thus, we can understand that the LCM of 291,744,527,238 is 8587992.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 291, 744, 527, 238
1. What is the LCM of 291, 744, 527, 238?
Answer: LCM of 291, 744, 527, 238 is 8587992.
2. How to calculate the LCM of 291, 744, 527, 238?
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 291, 744, 527, 238.
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}.