LCM of 938, 220, 460, 680, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 220, 460, 680, 342 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 938, 220, 460, 680, 342. So, keep reading to learn more.
Given numbers are 938,220,460,680,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,220,460,680,342 is 13797435960.
Find LCM of 938,220,460,680,342 with Prime Factorization
| 2 | 938, 220, 460, 680, 342 |
| 2 | 469, 110, 230, 340, 171 |
| 5 | 469, 55, 115, 170, 171 |
| 469, 11, 23, 34, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 469 x 11 x 23 x 34 x 171 = 13797435960
Therefore, the lowest common multiple of 938,220,460,680,342 is 13797435960.
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.
938 x 220 x 460 x 680 x 342 = 22075897536000
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,220,460,680,342, is 2.
Now, the common factors can be found like this.
938:2x 7x 67
220:2x 2x 5x 11
460:2x 2x 5x 23
680:2x 2x 2x 5x 17
342:2x 3x 3x 19
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 22075897536000/(2x800)
LCM = 22075897536000/1600
LCM = 13797435960
Thus, we can understand that the LCM of 938,220,460,680,342 is 13797435960.
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FAQs on LCM of 938, 220, 460, 680, 342
1. What is the LCM of 938, 220, 460, 680, 342?
Answer: LCM of 938, 220, 460, 680, 342 is 13797435960.
2. How to calculate the LCM of 938, 220, 460, 680, 342?
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 938, 220, 460, 680, 342.
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}.