LCM of 951, 562, 982, 952, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 562, 982, 952, 336 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 951, 562, 982, 952, 336. So, keep reading to learn more.
Given numbers are 951,562,982,952,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,562,982,952,336 is 249824641584.
Find LCM of 951,562,982,952,336 with Prime Factorization
| 2 | 951, 562, 982, 952, 336 |
| 2 | 951, 281, 491, 476, 168 |
| 2 | 951, 281, 491, 238, 84 |
| 3 | 951, 281, 491, 119, 42 |
| 7 | 317, 281, 491, 119, 14 |
| 317, 281, 491, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 317 x 281 x 491 x 17 x 2 = 249824641584
Therefore, the lowest common multiple of 951,562,982,952,336 is 249824641584.
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.
951 x 562 x 982 x 952 x 336 = 167882159144448
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.
951 : 1, 3, 317, 951
562 : 1, 2, 281, 562
982 : 1, 2, 491, 982
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,562,982,952,336, is 1.
Now, the common factors can be found like this.
951:3x 317
562:2x 281
982:2x 491
952:2x 2x 2x 7x 17
336:2x 2x 2x 2x 3x 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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 167882159144448/(1x672)
LCM = 167882159144448/672
LCM = 249824641584
Thus, we can understand that the LCM of 951,562,982,952,336 is 249824641584.
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FAQs on LCM of 951, 562, 982, 952, 336
1. What is the LCM of 951, 562, 982, 952, 336?
Answer: LCM of 951, 562, 982, 952, 336 is 249824641584.
2. How to calculate the LCM of 951, 562, 982, 952, 336?
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 951, 562, 982, 952, 336.
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}.