LCM of 924, 638, 968, 978, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 638, 968, 978, 987 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 924, 638, 968, 978, 987. So, keep reading to learn more.
Given numbers are 924,638,968,978,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,638,968,978,987 is 4516251432.
Find LCM of 924,638,968,978,987 with Prime Factorization
| 2 | 924, 638, 968, 978, 987 |
| 2 | 462, 319, 484, 489, 987 |
| 3 | 231, 319, 242, 489, 987 |
| 7 | 77, 319, 242, 163, 329 |
| 11 | 11, 319, 242, 163, 47 |
| 1, 29, 22, 163, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 29 x 22 x 163 x 47 = 4516251432
Therefore, the lowest common multiple of 924,638,968,978,987 is 4516251432.
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.
924 x 638 x 968 x 978 x 987 = 550838154658176
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
638 : 1, 2, 11, 22, 29, 58, 319, 638
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
978 : 1, 2, 3, 6, 163, 326, 489, 978
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,638,968,978,987, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
638:2x 11x 29
968:2x 2x 2x 11x 11
978:2x 3x 163
987:3x 7x 47
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 3x 7x 11x 11 = 121968
Therefore, the value for common factors is 121968.
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 = 550838154658176/(1x121968)
LCM = 550838154658176/121968
LCM = 4516251432
Thus, we can understand that the LCM of 924,638,968,978,987 is 4516251432.
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FAQs on LCM of 924, 638, 968, 978, 987
1. What is the LCM of 924, 638, 968, 978, 987?
Answer: LCM of 924, 638, 968, 978, 987 is 4516251432.
2. How to calculate the LCM of 924, 638, 968, 978, 987?
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 924, 638, 968, 978, 987.
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}.