LCM of 429, 242, 746, 759, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 242, 746, 759, 975 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 429, 242, 746, 759, 975. So, keep reading to learn more.
Given numbers are 429,242,746,759,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,242,746,759,975 is 2024215050.
Find LCM of 429,242,746,759,975 with Prime Factorization
| 2 | 429, 242, 746, 759, 975 |
| 3 | 429, 121, 373, 759, 975 |
| 11 | 143, 121, 373, 253, 325 |
| 13 | 13, 11, 373, 23, 325 |
| 1, 11, 373, 23, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 11 x 373 x 23 x 25 = 2024215050
Therefore, the lowest common multiple of 429,242,746,759,975 is 2024215050.
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.
429 x 242 x 746 x 759 x 975 = 57313624925700
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
242 : 1, 2, 11, 22, 121, 242
746 : 1, 2, 373, 746
759 : 1, 3, 11, 23, 33, 69, 253, 759
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,242,746,759,975, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
242:2x 11x 11
746:2x 373
759:3x 11x 23
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11x 13 = 28314
Therefore, the value for common factors is 28314.
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 = 57313624925700/(1x28314)
LCM = 57313624925700/28314
LCM = 2024215050
Thus, we can understand that the LCM of 429,242,746,759,975 is 2024215050.
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FAQs on LCM of 429, 242, 746, 759, 975
1. What is the LCM of 429, 242, 746, 759, 975?
Answer: LCM of 429, 242, 746, 759, 975 is 2024215050.
2. How to calculate the LCM of 429, 242, 746, 759, 975?
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 429, 242, 746, 759, 975.
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}.