LCM of 315, 658, 518, 862, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 658, 518, 862, 632 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 315, 658, 518, 862, 632. So, keep reading to learn more.
Given numbers are 315,658,518,862,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,658,518,862,632 is 149212251720.
Find LCM of 315,658,518,862,632 with Prime Factorization
| 2 | 315, 658, 518, 862, 632 |
| 7 | 315, 329, 259, 431, 316 |
| 45, 47, 37, 431, 316 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 45 x 47 x 37 x 431 x 316 = 149212251720
Therefore, the lowest common multiple of 315,658,518,862,632 is 149212251720.
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.
315 x 658 x 518 x 862 x 632 = 58491202674240
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
658 : 1, 2, 7, 14, 47, 94, 329, 658
518 : 1, 2, 7, 14, 37, 74, 259, 518
862 : 1, 2, 431, 862
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,658,518,862,632, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
658:2x 7x 47
518:2x 7x 37
862:2x 431
632:2x 2x 2x 79
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 58491202674240/(1x392)
LCM = 58491202674240/392
LCM = 149212251720
Thus, we can understand that the LCM of 315,658,518,862,632 is 149212251720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 658, 518, 862, 632
1. What is the LCM of 315, 658, 518, 862, 632?
Answer: LCM of 315, 658, 518, 862, 632 is 149212251720.
2. How to calculate the LCM of 315, 658, 518, 862, 632?
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 315, 658, 518, 862, 632.
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}.