LCM of 362, 984, 362, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 984, 362, 666 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 362, 984, 362, 666. So, keep reading to learn more.
Given numbers are 362,984,362,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,984,362,666 is 19769544.
Find LCM of 362,984,362,666 with Prime Factorization
| 2 | 362, 984, 362, 666 |
| 3 | 181, 492, 181, 333 |
| 181 | 181, 164, 181, 111 |
| 1, 164, 1, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 1 x 164 x 1 x 111 = 19769544
Therefore, the lowest common multiple of 362,984,362,666 is 19769544.
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.
362 x 984 x 362 x 666 = 85878899136
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.
362 : 1, 2, 181, 362
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
362 : 1, 2, 181, 362
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,984,362,666, is 2.
Now, the common factors can be found like this.
362:2x 181
984:2x 2x 2x 3x 41
362:2x 181
666:2x 3x 3x 37
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 3x 181 = 2172
Therefore, the value for common factors is 2172.
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 = 85878899136/(2x2172)
LCM = 85878899136/4344
LCM = 19769544
Thus, we can understand that the LCM of 362,984,362,666 is 19769544.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 984, 362, 666
1. What is the LCM of 362, 984, 362, 666?
Answer: LCM of 362, 984, 362, 666 is 19769544.
2. How to calculate the LCM of 362, 984, 362, 666?
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 362, 984, 362, 666.
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}.