LCM of 429, 277, 865, 280, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 277, 865, 280, 890 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 429, 277, 865, 280, 890. So, keep reading to learn more.
Given numbers are 429,277,865,280,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,277,865,280,890 is 512308076280.
Find LCM of 429,277,865,280,890 with Prime Factorization
| 2 | 429, 277, 865, 280, 890 |
| 5 | 429, 277, 865, 140, 445 |
| 429, 277, 173, 28, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 429 x 277 x 173 x 28 x 89 = 512308076280
Therefore, the lowest common multiple of 429,277,865,280,890 is 512308076280.
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.
429 x 277 x 865 x 280 x 890 = 25615403814000
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
277 : 1, 277
865 : 1, 5, 173, 865
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,277,865,280,890, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
277:277
865:5x 173
280:2x 2x 2x 5x 7
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 25615403814000/(1x50)
LCM = 25615403814000/50
LCM = 512308076280
Thus, we can understand that the LCM of 429,277,865,280,890 is 512308076280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 277, 865, 280, 890
1. What is the LCM of 429, 277, 865, 280, 890?
Answer: LCM of 429, 277, 865, 280, 890 is 512308076280.
2. How to calculate the LCM of 429, 277, 865, 280, 890?
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 429, 277, 865, 280, 890.
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}.