LCM of 840, 538, 238, 314, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 538, 238, 314, 392 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 840, 538, 238, 314, 392. So, keep reading to learn more.
Given numbers are 840,538,238,314,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,538,238,314,392 is 4221610680.
Find LCM of 840,538,238,314,392 with Prime Factorization
| 2 | 840, 538, 238, 314, 392 |
| 2 | 420, 269, 119, 157, 196 |
| 2 | 210, 269, 119, 157, 98 |
| 7 | 105, 269, 119, 157, 49 |
| 15, 269, 17, 157, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 15 x 269 x 17 x 157 x 7 = 4221610680
Therefore, the lowest common multiple of 840,538,238,314,392 is 4221610680.
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.
840 x 538 x 238 x 314 x 392 = 13238971092480
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
538 : 1, 2, 269, 538
238 : 1, 2, 7, 14, 17, 34, 119, 238
314 : 1, 2, 157, 314
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,538,238,314,392, is 2.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
538:2x 269
238:2x 7x 17
314:2x 157
392:2x 2x 2x 7x 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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 13238971092480/(2x1568)
LCM = 13238971092480/3136
LCM = 4221610680
Thus, we can understand that the LCM of 840,538,238,314,392 is 4221610680.
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FAQs on LCM of 840, 538, 238, 314, 392
1. What is the LCM of 840, 538, 238, 314, 392?
Answer: LCM of 840, 538, 238, 314, 392 is 4221610680.
2. How to calculate the LCM of 840, 538, 238, 314, 392?
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 840, 538, 238, 314, 392.
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}.