LCM of 403, 740, 829, 975, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 740, 829, 975, 657 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 403, 740, 829, 975, 657. So, keep reading to learn more.
Given numbers are 403,740,829,975,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,740,829,975,657 is 812132088300.
Find LCM of 403,740,829,975,657 with Prime Factorization
| 3 | 403, 740, 829, 975, 657 |
| 5 | 403, 740, 829, 325, 219 |
| 13 | 403, 148, 829, 65, 219 |
| 31, 148, 829, 5, 219 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 31 x 148 x 829 x 5 x 219 = 812132088300
Therefore, the lowest common multiple of 403,740,829,975,657 is 812132088300.
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.
403 x 740 x 829 x 975 x 657 = 158365757218500
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.
403 : 1, 13, 31, 403
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
829 : 1, 829
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,740,829,975,657, is 1.
Now, the common factors can be found like this.
403:13x 31
740:2x 2x 5x 37
829:829
975:3x 5x 5x 13
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 158365757218500/(1x195)
LCM = 158365757218500/195
LCM = 812132088300
Thus, we can understand that the LCM of 403,740,829,975,657 is 812132088300.
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FAQs on LCM of 403, 740, 829, 975, 657
1. What is the LCM of 403, 740, 829, 975, 657?
Answer: LCM of 403, 740, 829, 975, 657 is 812132088300.
2. How to calculate the LCM of 403, 740, 829, 975, 657?
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 403, 740, 829, 975, 657.
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}.