LCM of 802, 978, 309, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 978, 309, 132 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 802, 978, 309, 132. So, keep reading to learn more.
Given numbers are 802,978,309,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,978,309,132 is 888675348.
Find LCM of 802,978,309,132 with Prime Factorization
| 2 | 802, 978, 309, 132 |
| 3 | 401, 489, 309, 66 |
| 401, 163, 103, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 401 x 163 x 103 x 22 = 888675348
Therefore, the lowest common multiple of 802,978,309,132 is 888675348.
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.
802 x 978 x 309 x 132 = 31992312528
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.
802 : 1, 2, 401, 802
978 : 1, 2, 3, 6, 163, 326, 489, 978
309 : 1, 3, 103, 309
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,978,309,132, is 1.
Now, the common factors can be found like this.
802:2x 401
978:2x 3x 163
309:3x 103
132:2x 2x 3x 11
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 3 = 36
Therefore, the value for common factors is 36.
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 = 31992312528/(1x36)
LCM = 31992312528/36
LCM = 888675348
Thus, we can understand that the LCM of 802,978,309,132 is 888675348.
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FAQs on LCM of 802, 978, 309, 132
1. What is the LCM of 802, 978, 309, 132?
Answer: LCM of 802, 978, 309, 132 is 888675348.
2. How to calculate the LCM of 802, 978, 309, 132?
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 802, 978, 309, 132.
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}.