LCM of 252, 600, 616, 229, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 600, 616, 229, 751 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 252, 600, 616, 229, 751. So, keep reading to learn more.
Given numbers are 252,600,616,229,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,600,616,229,751 is 23836289400.
Find LCM of 252,600,616,229,751 with Prime Factorization
| 2 | 252, 600, 616, 229, 751 |
| 2 | 126, 300, 308, 229, 751 |
| 2 | 63, 150, 154, 229, 751 |
| 3 | 63, 75, 77, 229, 751 |
| 7 | 21, 25, 77, 229, 751 |
| 3, 25, 11, 229, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 3 x 25 x 11 x 229 x 751 = 23836289400
Therefore, the lowest common multiple of 252,600,616,229,751 is 23836289400.
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.
252 x 600 x 616 x 229 x 751 = 16017986476800
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
229 : 1, 229
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,600,616,229,751, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
600:2x 2x 2x 3x 5x 5
616:2x 2x 2x 7x 11
229:229
751:751
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 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 16017986476800/(1x672)
LCM = 16017986476800/672
LCM = 23836289400
Thus, we can understand that the LCM of 252,600,616,229,751 is 23836289400.
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FAQs on LCM of 252, 600, 616, 229, 751
1. What is the LCM of 252, 600, 616, 229, 751?
Answer: LCM of 252, 600, 616, 229, 751 is 23836289400.
2. How to calculate the LCM of 252, 600, 616, 229, 751?
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 252, 600, 616, 229, 751.
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}.