LCM of 355, 372, 314, 221, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 372, 314, 221, 588 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 355, 372, 314, 221, 588. So, keep reading to learn more.
Given numbers are 355,372,314,221,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,372,314,221,588 is 224522205180.
Find LCM of 355,372,314,221,588 with Prime Factorization
| 2 | 355, 372, 314, 221, 588 |
| 2 | 355, 186, 157, 221, 294 |
| 3 | 355, 93, 157, 221, 147 |
| 355, 31, 157, 221, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 355 x 31 x 157 x 221 x 49 = 224522205180
Therefore, the lowest common multiple of 355,372,314,221,588 is 224522205180.
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.
355 x 372 x 314 x 221 x 588 = 5388532924320
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.
355 : 1, 5, 71, 355
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
314 : 1, 2, 157, 314
221 : 1, 13, 17, 221
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,372,314,221,588, is 1.
Now, the common factors can be found like this.
355:5x 71
372:2x 2x 3x 31
314:2x 157
221:13x 17
588:2x 2x 3x 7x 7
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 3 = 24
Therefore, the value for common factors is 24.
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 = 5388532924320/(1x24)
LCM = 5388532924320/24
LCM = 224522205180
Thus, we can understand that the LCM of 355,372,314,221,588 is 224522205180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 355, 372, 314, 221, 588
1. What is the LCM of 355, 372, 314, 221, 588?
Answer: LCM of 355, 372, 314, 221, 588 is 224522205180.
2. How to calculate the LCM of 355, 372, 314, 221, 588?
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 355, 372, 314, 221, 588.
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}.