LCM of 334, 392, 381, 587, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 392, 381, 587, 840 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 334, 392, 381, 587, 840. So, keep reading to learn more.
Given numbers are 334,392,381,587,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,392,381,587,840 is 73204136040.
Find LCM of 334,392,381,587,840 with Prime Factorization
| 2 | 334, 392, 381, 587, 840 |
| 2 | 167, 196, 381, 587, 420 |
| 2 | 167, 98, 381, 587, 210 |
| 3 | 167, 49, 381, 587, 105 |
| 7 | 167, 49, 127, 587, 35 |
| 167, 7, 127, 587, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 167 x 7 x 127 x 587 x 5 = 73204136040
Therefore, the lowest common multiple of 334,392,381,587,840 is 73204136040.
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.
334 x 392 x 381 x 587 x 840 = 24596589709440
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.
334 : 1, 2, 167, 334
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
381 : 1, 3, 127, 381
587 : 1, 587
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,392,381,587,840, is 1.
Now, the common factors can be found like this.
334:2x 167
392:2x 2x 2x 7x 7
381:3x 127
587:587
840:2x 2x 2x 3x 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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 24596589709440/(1x336)
LCM = 24596589709440/336
LCM = 73204136040
Thus, we can understand that the LCM of 334,392,381,587,840 is 73204136040.
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FAQs on LCM of 334, 392, 381, 587, 840
1. What is the LCM of 334, 392, 381, 587, 840?
Answer: LCM of 334, 392, 381, 587, 840 is 73204136040.
2. How to calculate the LCM of 334, 392, 381, 587, 840?
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 334, 392, 381, 587, 840.
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}.