LCM of 669, 930, 468, 624, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 930, 468, 624, 253 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 669, 930, 468, 624, 253. So, keep reading to learn more.
Given numbers are 669,930,468,624,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,930,468,624,253 is 16370537040.
Find LCM of 669,930,468,624,253 with Prime Factorization
| 2 | 669, 930, 468, 624, 253 |
| 2 | 669, 465, 234, 312, 253 |
| 3 | 669, 465, 117, 156, 253 |
| 13 | 223, 155, 39, 52, 253 |
| 223, 155, 3, 4, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 223 x 155 x 3 x 4 x 253 = 16370537040
Therefore, the lowest common multiple of 669,930,468,624,253 is 16370537040.
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.
669 x 930 x 468 x 624 x 253 = 45968468008320
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.
669 : 1, 3, 223, 669
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,930,468,624,253, is 1.
Now, the common factors can be found like this.
669:3x 223
930:2x 3x 5x 31
468:2x 2x 3x 3x 13
624:2x 2x 2x 2x 3x 13
253:11x 23
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 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 45968468008320/(1x2808)
LCM = 45968468008320/2808
LCM = 16370537040
Thus, we can understand that the LCM of 669,930,468,624,253 is 16370537040.
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FAQs on LCM of 669, 930, 468, 624, 253
1. What is the LCM of 669, 930, 468, 624, 253?
Answer: LCM of 669, 930, 468, 624, 253 is 16370537040.
2. How to calculate the LCM of 669, 930, 468, 624, 253?
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 669, 930, 468, 624, 253.
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}.