LCM of 222, 274, 108, 378, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 274, 108, 378, 761 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 222, 274, 108, 378, 761. So, keep reading to learn more.
Given numbers are 222,274,108,378,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,274,108,378,761 is 2916276804.
Find LCM of 222,274,108,378,761 with Prime Factorization
| 2 | 222, 274, 108, 378, 761 |
| 3 | 111, 137, 54, 189, 761 |
| 3 | 37, 137, 18, 63, 761 |
| 3 | 37, 137, 6, 21, 761 |
| 37, 137, 2, 7, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 37 x 137 x 2 x 7 x 761 = 2916276804
Therefore, the lowest common multiple of 222,274,108,378,761 is 2916276804.
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.
222 x 274 x 108 x 378 x 761 = 1889747368992
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
274 : 1, 2, 137, 274
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,274,108,378,761, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
274:2x 137
108:2x 2x 3x 3x 3
378:2x 3x 3x 3x 7
761:761
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 3 = 648
Therefore, the value for common factors is 648.
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 = 1889747368992/(1x648)
LCM = 1889747368992/648
LCM = 2916276804
Thus, we can understand that the LCM of 222,274,108,378,761 is 2916276804.
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FAQs on LCM of 222, 274, 108, 378, 761
1. What is the LCM of 222, 274, 108, 378, 761?
Answer: LCM of 222, 274, 108, 378, 761 is 2916276804.
2. How to calculate the LCM of 222, 274, 108, 378, 761?
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 222, 274, 108, 378, 761.
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}.