LCM of 957, 703, 667, 156, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 703, 667, 156, 846 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 957, 703, 667, 156, 846. So, keep reading to learn more.
Given numbers are 957,703,667,156,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,703,667,156,846 is 113453410356.
Find LCM of 957,703,667,156,846 with Prime Factorization
| 2 | 957, 703, 667, 156, 846 |
| 3 | 957, 703, 667, 78, 423 |
| 29 | 319, 703, 667, 26, 141 |
| 11, 703, 23, 26, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 11 x 703 x 23 x 26 x 141 = 113453410356
Therefore, the lowest common multiple of 957,703,667,156,846 is 113453410356.
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.
957 x 703 x 667 x 156 x 846 = 59222680205832
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
703 : 1, 19, 37, 703
667 : 1, 23, 29, 667
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,703,667,156,846, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
703:19x 37
667:23x 29
156:2x 2x 3x 13
846:2x 3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 29 = 522
Therefore, the value for common factors is 522.
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 = 59222680205832/(1x522)
LCM = 59222680205832/522
LCM = 113453410356
Thus, we can understand that the LCM of 957,703,667,156,846 is 113453410356.
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FAQs on LCM of 957, 703, 667, 156, 846
1. What is the LCM of 957, 703, 667, 156, 846?
Answer: LCM of 957, 703, 667, 156, 846 is 113453410356.
2. How to calculate the LCM of 957, 703, 667, 156, 846?
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 957, 703, 667, 156, 846.
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}.