LCM of 924, 203, 618, 824, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 203, 618, 824, 883 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, 203, 618, 824, 883. So, keep reading to learn more.
Given numbers are 924,203,618,824,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,203,618,824,883 is 4874138808.
Find LCM of 924,203,618,824,883 with Prime Factorization
| 2 | 924, 203, 618, 824, 883 |
| 2 | 462, 203, 309, 412, 883 |
| 3 | 231, 203, 309, 206, 883 |
| 7 | 77, 203, 103, 206, 883 |
| 103 | 11, 29, 103, 206, 883 |
| 11, 29, 1, 2, 883 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 103 x 11 x 29 x 1 x 2 x 883 = 4874138808
Therefore, the lowest common multiple of 924,203,618,824,883 is 4874138808.
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 203 x 618 x 824 x 883 = 84342097933632
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
203 : 1, 7, 29, 203
618 : 1, 2, 3, 6, 103, 206, 309, 618
824 : 1, 2, 4, 8, 103, 206, 412, 824
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,203,618,824,883, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
203:7x 29
618:2x 3x 103
824:2x 2x 2x 103
883:883
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 3x 7x 103 = 17304
Therefore, the value for common factors is 17304.
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 = 84342097933632/(1x17304)
LCM = 84342097933632/17304
LCM = 4874138808
Thus, we can understand that the LCM of 924,203,618,824,883 is 4874138808.
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FAQs on LCM of 924, 203, 618, 824, 883
1. What is the LCM of 924, 203, 618, 824, 883?
Answer: LCM of 924, 203, 618, 824, 883 is 4874138808.
2. How to calculate the LCM of 924, 203, 618, 824, 883?
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, 203, 618, 824, 883.
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}.