LCM of 424, 253, 117, 690, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 253, 117, 690, 888 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 424, 253, 117, 690, 888. So, keep reading to learn more.
Given numbers are 424,253,117,690,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,253,117,690,888 is 2321902440.
Find LCM of 424,253,117,690,888 with Prime Factorization
| 2 | 424, 253, 117, 690, 888 |
| 2 | 212, 253, 117, 345, 444 |
| 2 | 106, 253, 117, 345, 222 |
| 3 | 53, 253, 117, 345, 111 |
| 23 | 53, 253, 39, 115, 37 |
| 53, 11, 39, 5, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 53 x 11 x 39 x 5 x 37 = 2321902440
Therefore, the lowest common multiple of 424,253,117,690,888 is 2321902440.
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.
424 x 253 x 117 x 690 x 888 = 7690140881280
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
253 : 1, 11, 23, 253
117 : 1, 3, 9, 13, 39, 117
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,253,117,690,888, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
253:11x 23
117:3x 3x 13
690:2x 3x 5x 23
888:2x 2x 2x 3x 37
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 23 = 3312
Therefore, the value for common factors is 3312.
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 = 7690140881280/(1x3312)
LCM = 7690140881280/3312
LCM = 2321902440
Thus, we can understand that the LCM of 424,253,117,690,888 is 2321902440.
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FAQs on LCM of 424, 253, 117, 690, 888
1. What is the LCM of 424, 253, 117, 690, 888?
Answer: LCM of 424, 253, 117, 690, 888 is 2321902440.
2. How to calculate the LCM of 424, 253, 117, 690, 888?
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 424, 253, 117, 690, 888.
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}.