LCM of 442, 238, 175, 924, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 238, 175, 924, 795 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 442, 238, 175, 924, 795. So, keep reading to learn more.
Given numbers are 442,238,175,924,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,238,175,924,795 is 270570300.
Find LCM of 442,238,175,924,795 with Prime Factorization
| 2 | 442, 238, 175, 924, 795 |
| 3 | 221, 119, 175, 462, 795 |
| 5 | 221, 119, 175, 154, 265 |
| 7 | 221, 119, 35, 154, 53 |
| 17 | 221, 17, 5, 22, 53 |
| 13, 1, 5, 22, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 13 x 1 x 5 x 22 x 53 = 270570300
Therefore, the lowest common multiple of 442,238,175,924,795 is 270570300.
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.
442 x 238 x 175 x 924 x 795 = 13523103594000
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
238 : 1, 2, 7, 14, 17, 34, 119, 238
175 : 1, 5, 7, 25, 35, 175
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,238,175,924,795, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
238:2x 7x 17
175:5x 5x 7
924:2x 2x 3x 7x 11
795:3x 5x 53
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 5x 7x 7x 17 = 49980
Therefore, the value for common factors is 49980.
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 = 13523103594000/(1x49980)
LCM = 13523103594000/49980
LCM = 270570300
Thus, we can understand that the LCM of 442,238,175,924,795 is 270570300.
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FAQs on LCM of 442, 238, 175, 924, 795
1. What is the LCM of 442, 238, 175, 924, 795?
Answer: LCM of 442, 238, 175, 924, 795 is 270570300.
2. How to calculate the LCM of 442, 238, 175, 924, 795?
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 442, 238, 175, 924, 795.
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}.