LCM of 357, 826, 285, 695, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 826, 285, 695, 936 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 357, 826, 285, 695, 936. So, keep reading to learn more.
Given numbers are 357,826,285,695,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,826,285,695,936 is 86778717480.
Find LCM of 357,826,285,695,936 with Prime Factorization
| 2 | 357, 826, 285, 695, 936 |
| 3 | 357, 413, 285, 695, 468 |
| 5 | 119, 413, 95, 695, 156 |
| 7 | 119, 413, 19, 139, 156 |
| 17, 59, 19, 139, 156 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 59 x 19 x 139 x 156 = 86778717480
Therefore, the lowest common multiple of 357,826,285,695,936 is 86778717480.
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.
357 x 826 x 285 x 695 x 936 = 54670592012400
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
826 : 1, 2, 7, 14, 59, 118, 413, 826
285 : 1, 3, 5, 15, 19, 57, 95, 285
695 : 1, 5, 139, 695
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,826,285,695,936, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
826:2x 7x 59
285:3x 5x 19
695:5x 139
936:2x 2x 2x 3x 3x 13
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 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 54670592012400/(1x630)
LCM = 54670592012400/630
LCM = 86778717480
Thus, we can understand that the LCM of 357,826,285,695,936 is 86778717480.
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FAQs on LCM of 357, 826, 285, 695, 936
1. What is the LCM of 357, 826, 285, 695, 936?
Answer: LCM of 357, 826, 285, 695, 936 is 86778717480.
2. How to calculate the LCM of 357, 826, 285, 695, 936?
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 357, 826, 285, 695, 936.
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}.