LCM of 984, 971, 411, 192, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 971, 411, 192, 502 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 984, 971, 411, 192, 502. So, keep reading to learn more.
Given numbers are 984,971,411,192,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,971,411,192,502 is 262844324544.
Find LCM of 984,971,411,192,502 with Prime Factorization
| 2 | 984, 971, 411, 192, 502 |
| 2 | 492, 971, 411, 96, 251 |
| 2 | 246, 971, 411, 48, 251 |
| 3 | 123, 971, 411, 24, 251 |
| 41, 971, 137, 8, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 971 x 137 x 8 x 251 = 262844324544
Therefore, the lowest common multiple of 984,971,411,192,502 is 262844324544.
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.
984 x 971 x 411 x 192 x 502 = 37849582734336
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
971 : 1, 971
411 : 1, 3, 137, 411
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,971,411,192,502, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
971:971
411:3x 137
192:2x 2x 2x 2x 2x 2x 3
502:2x 251
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 3 = 144
Therefore, the value for common factors is 144.
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 = 37849582734336/(1x144)
LCM = 37849582734336/144
LCM = 262844324544
Thus, we can understand that the LCM of 984,971,411,192,502 is 262844324544.
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FAQs on LCM of 984, 971, 411, 192, 502
1. What is the LCM of 984, 971, 411, 192, 502?
Answer: LCM of 984, 971, 411, 192, 502 is 262844324544.
2. How to calculate the LCM of 984, 971, 411, 192, 502?
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 984, 971, 411, 192, 502.
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}.