LCM of 172, 824, 953, 308, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 824, 953, 308, 714 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 172, 824, 953, 308, 714. So, keep reading to learn more.
Given numbers are 172,824,953,308,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,824,953,308,714 is 132601815192.
Find LCM of 172,824,953,308,714 with Prime Factorization
| 2 | 172, 824, 953, 308, 714 |
| 2 | 86, 412, 953, 154, 357 |
| 7 | 43, 206, 953, 77, 357 |
| 43, 206, 953, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 206 x 953 x 11 x 51 = 132601815192
Therefore, the lowest common multiple of 172,824,953,308,714 is 132601815192.
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.
172 x 824 x 953 x 308 x 714 = 29702806603008
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.
172 : 1, 2, 4, 43, 86, 172
824 : 1, 2, 4, 8, 103, 206, 412, 824
953 : 1, 953
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,824,953,308,714, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
824:2x 2x 2x 103
953:953
308:2x 2x 7x 11
714:2x 3x 7x 17
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 29702806603008/(1x224)
LCM = 29702806603008/224
LCM = 132601815192
Thus, we can understand that the LCM of 172,824,953,308,714 is 132601815192.
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FAQs on LCM of 172, 824, 953, 308, 714
1. What is the LCM of 172, 824, 953, 308, 714?
Answer: LCM of 172, 824, 953, 308, 714 is 132601815192.
2. How to calculate the LCM of 172, 824, 953, 308, 714?
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 172, 824, 953, 308, 714.
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}.