LCM of 132, 442, 299, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 442, 299, 692 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 132, 442, 299, 692. So, keep reading to learn more.
Given numbers are 132,442,299,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,442,299,692 is 116075388.
Find LCM of 132,442,299,692 with Prime Factorization
| 2 | 132, 442, 299, 692 |
| 2 | 66, 221, 299, 346 |
| 13 | 33, 221, 299, 173 |
| 33, 17, 23, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 33 x 17 x 23 x 173 = 116075388
Therefore, the lowest common multiple of 132,442,299,692 is 116075388.
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.
132 x 442 x 299 x 692 = 12071840352
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
442 : 1, 2, 13, 17, 26, 34, 221, 442
299 : 1, 13, 23, 299
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,442,299,692, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
442:2x 13x 17
299:13x 23
692:2x 2x 173
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 13 = 104
Therefore, the value for common factors is 104.
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 = 12071840352/(1x104)
LCM = 12071840352/104
LCM = 116075388
Thus, we can understand that the LCM of 132,442,299,692 is 116075388.
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FAQs on LCM of 132, 442, 299, 692
1. What is the LCM of 132, 442, 299, 692?
Answer: LCM of 132, 442, 299, 692 is 116075388.
2. How to calculate the LCM of 132, 442, 299, 692?
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 132, 442, 299, 692.
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}.