LCM of 362, 676, 616, 847, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 676, 616, 847, 502 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 362, 676, 616, 847, 502. So, keep reading to learn more.
Given numbers are 362,676,616,847,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,676,616,847,502 is 52025037064.
Find LCM of 362,676,616,847,502 with Prime Factorization
| 2 | 362, 676, 616, 847, 502 |
| 2 | 181, 338, 308, 847, 251 |
| 7 | 181, 169, 154, 847, 251 |
| 11 | 181, 169, 22, 121, 251 |
| 181, 169, 2, 11, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 181 x 169 x 2 x 11 x 251 = 52025037064
Therefore, the lowest common multiple of 362,676,616,847,502 is 52025037064.
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.
362 x 676 x 616 x 847 x 502 = 64094845662848
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.
362 : 1, 2, 181, 362
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
847 : 1, 7, 11, 77, 121, 847
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,676,616,847,502, is 1.
Now, the common factors can be found like this.
362:2x 181
676:2x 2x 13x 13
616:2x 2x 2x 7x 11
847:7x 11x 11
502:2x 251
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 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 64094845662848/(1x1232)
LCM = 64094845662848/1232
LCM = 52025037064
Thus, we can understand that the LCM of 362,676,616,847,502 is 52025037064.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 362, 676, 616, 847, 502
1. What is the LCM of 362, 676, 616, 847, 502?
Answer: LCM of 362, 676, 616, 847, 502 is 52025037064.
2. How to calculate the LCM of 362, 676, 616, 847, 502?
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 362, 676, 616, 847, 502.
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}.