LCM of 942, 652, 348, 489, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 652, 348, 489, 140 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 942, 652, 348, 489, 140. So, keep reading to learn more.
Given numbers are 942,652,348,489,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,652,348,489,140 is 311698380.
Find LCM of 942,652,348,489,140 with Prime Factorization
| 2 | 942, 652, 348, 489, 140 |
| 2 | 471, 326, 174, 489, 70 |
| 3 | 471, 163, 87, 489, 35 |
| 163 | 157, 163, 29, 163, 35 |
| 157, 1, 29, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 157 x 1 x 29 x 1 x 35 = 311698380
Therefore, the lowest common multiple of 942,652,348,489,140 is 311698380.
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.
942 x 652 x 348 x 489 x 140 = 14632368750720
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
652 : 1, 2, 4, 163, 326, 652
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
489 : 1, 3, 163, 489
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,652,348,489,140, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
652:2x 2x 163
348:2x 2x 3x 29
489:3x 163
140:2x 2x 5x 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 3x 163 = 46944
Therefore, the value for common factors is 46944.
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 = 14632368750720/(1x46944)
LCM = 14632368750720/46944
LCM = 311698380
Thus, we can understand that the LCM of 942,652,348,489,140 is 311698380.
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FAQs on LCM of 942, 652, 348, 489, 140
1. What is the LCM of 942, 652, 348, 489, 140?
Answer: LCM of 942, 652, 348, 489, 140 is 311698380.
2. How to calculate the LCM of 942, 652, 348, 489, 140?
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 942, 652, 348, 489, 140.
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}.