LCM of 957, 748, 471, 371, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 748, 471, 371, 721 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 957, 748, 471, 371, 721. So, keep reading to learn more.
Given numbers are 957,748,471,371,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,748,471,371,721 is 390419622516.
Find LCM of 957,748,471,371,721 with Prime Factorization
| 3 | 957, 748, 471, 371, 721 |
| 7 | 319, 748, 157, 371, 721 |
| 11 | 319, 748, 157, 53, 103 |
| 29, 68, 157, 53, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 29 x 68 x 157 x 53 x 103 = 390419622516
Therefore, the lowest common multiple of 957,748,471,371,721 is 390419622516.
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.
957 x 748 x 471 x 371 x 721 = 90186932801196
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
471 : 1, 3, 157, 471
371 : 1, 7, 53, 371
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,748,471,371,721, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
748:2x 2x 11x 17
471:3x 157
371:7x 53
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 90186932801196/(1x231)
LCM = 90186932801196/231
LCM = 390419622516
Thus, we can understand that the LCM of 957,748,471,371,721 is 390419622516.
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FAQs on LCM of 957, 748, 471, 371, 721
1. What is the LCM of 957, 748, 471, 371, 721?
Answer: LCM of 957, 748, 471, 371, 721 is 390419622516.
2. How to calculate the LCM of 957, 748, 471, 371, 721?
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 957, 748, 471, 371, 721.
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}.