LCM of 374, 299, 312, 793, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 299, 312, 793, 263 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 374, 299, 312, 793, 263. So, keep reading to learn more.
Given numbers are 374,299,312,793,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,299,312,793,263 is 21528294216.
Find LCM of 374,299,312,793,263 with Prime Factorization
| 2 | 374, 299, 312, 793, 263 |
| 13 | 187, 299, 156, 793, 263 |
| 187, 23, 12, 61, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 187 x 23 x 12 x 61 x 263 = 21528294216
Therefore, the lowest common multiple of 374,299,312,793,263 is 21528294216.
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.
374 x 299 x 312 x 793 x 263 = 7276563445008
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
299 : 1, 13, 23, 299
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
793 : 1, 13, 61, 793
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,299,312,793,263, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
299:13x 23
312:2x 2x 2x 3x 13
793:13x 61
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 7276563445008/(1x338)
LCM = 7276563445008/338
LCM = 21528294216
Thus, we can understand that the LCM of 374,299,312,793,263 is 21528294216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 299, 312, 793, 263
1. What is the LCM of 374, 299, 312, 793, 263?
Answer: LCM of 374, 299, 312, 793, 263 is 21528294216.
2. How to calculate the LCM of 374, 299, 312, 793, 263?
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 374, 299, 312, 793, 263.
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}.