LCM of 492, 507, 117, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 507, 117, 924 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 492, 507, 117, 924. So, keep reading to learn more.
Given numbers are 492,507,117,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,507,117,924 is 19207188.
Find LCM of 492,507,117,924 with Prime Factorization
| 2 | 492, 507, 117, 924 |
| 2 | 246, 507, 117, 462 |
| 3 | 123, 507, 117, 231 |
| 13 | 41, 169, 39, 77 |
| 41, 13, 3, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 41 x 13 x 3 x 77 = 19207188
Therefore, the lowest common multiple of 492,507,117,924 is 19207188.
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.
492 x 507 x 117 x 924 = 26966891952
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
507 : 1, 3, 13, 39, 169, 507
117 : 1, 3, 9, 13, 39, 117
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,507,117,924, is 3.
Now, the common factors can be found like this.
492:2x 2x 3x 41
507:3x 13x 13
117:3x 3x 13
924:2x 2x 3x 7x 11
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 26966891952/(3x468)
LCM = 26966891952/1404
LCM = 19207188
Thus, we can understand that the LCM of 492,507,117,924 is 19207188.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 492, 507, 117, 924
1. What is the LCM of 492, 507, 117, 924?
Answer: LCM of 492, 507, 117, 924 is 19207188.
2. How to calculate the LCM of 492, 507, 117, 924?
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 492, 507, 117, 924.
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}.