LCM of 299, 312, 752, 860, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 312, 752, 860, 420 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 299, 312, 752, 860, 420. So, keep reading to learn more.
Given numbers are 299,312,752,860,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,312,752,860,420 is 1015188720.
Find LCM of 299,312,752,860,420 with Prime Factorization
| 2 | 299, 312, 752, 860, 420 |
| 2 | 299, 156, 376, 430, 210 |
| 2 | 299, 78, 188, 215, 105 |
| 3 | 299, 39, 94, 215, 105 |
| 5 | 299, 13, 94, 215, 35 |
| 13 | 299, 13, 94, 43, 7 |
| 23, 1, 94, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 23 x 1 x 94 x 43 x 7 = 1015188720
Therefore, the lowest common multiple of 299,312,752,860,420 is 1015188720.
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.
299 x 312 x 752 x 860 x 420 = 25339110451200
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.
299 : 1, 13, 23, 299
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,312,752,860,420, is 1.
Now, the common factors can be found like this.
299:13x 23
312:2x 2x 2x 3x 13
752:2x 2x 2x 2x 47
860:2x 2x 5x 43
420:2x 2x 3x 5x 7
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 2x 2x 3x 5x 13 = 24960
Therefore, the value for common factors is 24960.
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 = 25339110451200/(1x24960)
LCM = 25339110451200/24960
LCM = 1015188720
Thus, we can understand that the LCM of 299,312,752,860,420 is 1015188720.
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FAQs on LCM of 299, 312, 752, 860, 420
1. What is the LCM of 299, 312, 752, 860, 420?
Answer: LCM of 299, 312, 752, 860, 420 is 1015188720.
2. How to calculate the LCM of 299, 312, 752, 860, 420?
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 299, 312, 752, 860, 420.
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}.