LCM of 372, 103, 279, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 103, 279, 374 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 372, 103, 279, 374. So, keep reading to learn more.
Given numbers are 372,103,279,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,103,279,374 is 21495276.
Find LCM of 372,103,279,374 with Prime Factorization
| 2 | 372, 103, 279, 374 |
| 3 | 186, 103, 279, 187 |
| 31 | 62, 103, 93, 187 |
| 2, 103, 3, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 2 x 103 x 3 x 187 = 21495276
Therefore, the lowest common multiple of 372,103,279,374 is 21495276.
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.
372 x 103 x 279 x 374 = 3998121336
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
103 : 1, 103
279 : 1, 3, 9, 31, 93, 279
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,103,279,374, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
103:103
279:3x 3x 31
374:2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 3998121336/(1x186)
LCM = 3998121336/186
LCM = 21495276
Thus, we can understand that the LCM of 372,103,279,374 is 21495276.
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FAQs on LCM of 372, 103, 279, 374
1. What is the LCM of 372, 103, 279, 374?
Answer: LCM of 372, 103, 279, 374 is 21495276.
2. How to calculate the LCM of 372, 103, 279, 374?
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 372, 103, 279, 374.
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}.