LCM of 652, 314, 851, 446, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 314, 851, 446, 598 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 652, 314, 851, 446, 598. So, keep reading to learn more.
Given numbers are 652,314,851,446,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,314,851,446,598 is 252537003836.
Find LCM of 652,314,851,446,598 with Prime Factorization
| 2 | 652, 314, 851, 446, 598 |
| 23 | 326, 157, 851, 223, 299 |
| 326, 157, 37, 223, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 326 x 157 x 37 x 223 x 13 = 252537003836
Therefore, the lowest common multiple of 652,314,851,446,598 is 252537003836.
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.
652 x 314 x 851 x 446 x 598 = 46466808705824
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.
652 : 1, 2, 4, 163, 326, 652
314 : 1, 2, 157, 314
851 : 1, 23, 37, 851
446 : 1, 2, 223, 446
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,314,851,446,598, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
314:2x 157
851:23x 37
446:2x 223
598:2x 13x 23
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 23 = 184
Therefore, the value for common factors is 184.
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 = 46466808705824/(1x184)
LCM = 46466808705824/184
LCM = 252537003836
Thus, we can understand that the LCM of 652,314,851,446,598 is 252537003836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 314, 851, 446, 598
1. What is the LCM of 652, 314, 851, 446, 598?
Answer: LCM of 652, 314, 851, 446, 598 is 252537003836.
2. How to calculate the LCM of 652, 314, 851, 446, 598?
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 652, 314, 851, 446, 598.
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}.