LCM of 313, 697, 358, 895, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 697, 358, 895, 436 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 313, 697, 358, 895, 436. So, keep reading to learn more.
Given numbers are 313,697,358,895,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,697,358,895,436 is 85130785420.
Find LCM of 313,697,358,895,436 with Prime Factorization
| 2 | 313, 697, 358, 895, 436 |
| 179 | 313, 697, 179, 895, 218 |
| 313, 697, 1, 5, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 313 x 697 x 1 x 5 x 218 = 85130785420
Therefore, the lowest common multiple of 313,697,358,895,436 is 85130785420.
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.
313 x 697 x 358 x 895 x 436 = 30476821180360
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.
313 : 1, 313
697 : 1, 17, 41, 697
358 : 1, 2, 179, 358
895 : 1, 5, 179, 895
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,697,358,895,436, is 1.
Now, the common factors can be found like this.
313:313
697:17x 41
358:2x 179
895:5x 179
436:2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 179 = 358
Therefore, the value for common factors is 358.
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 = 30476821180360/(1x358)
LCM = 30476821180360/358
LCM = 85130785420
Thus, we can understand that the LCM of 313,697,358,895,436 is 85130785420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 697, 358, 895, 436
1. What is the LCM of 313, 697, 358, 895, 436?
Answer: LCM of 313, 697, 358, 895, 436 is 85130785420.
2. How to calculate the LCM of 313, 697, 358, 895, 436?
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 313, 697, 358, 895, 436.
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}.