LCM of 429, 905, 737, 573, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 905, 737, 573, 312 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, 905, 737, 573, 312. So, keep reading to learn more.
Given numbers are 429,905,737,573,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,905,737,573,312 is 39746970120.
Find LCM of 429,905,737,573,312 with Prime Factorization
| 3 | 429, 905, 737, 573, 312 |
| 11 | 143, 905, 737, 191, 104 |
| 13 | 13, 905, 67, 191, 104 |
| 1, 905, 67, 191, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 1 x 905 x 67 x 191 x 8 = 39746970120
Therefore, the lowest common multiple of 429,905,737,573,312 is 39746970120.
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 905 x 737 x 573 x 312 = 51154350544440
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
905 : 1, 5, 181, 905
737 : 1, 11, 67, 737
573 : 1, 3, 191, 573
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,905,737,573,312, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
905:5x 181
737:11x 67
573:3x 191
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 13 = 1287
Therefore, the value for common factors is 1287.
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 = 51154350544440/(1x1287)
LCM = 51154350544440/1287
LCM = 39746970120
Thus, we can understand that the LCM of 429,905,737,573,312 is 39746970120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 905, 737, 573, 312
1. What is the LCM of 429, 905, 737, 573, 312?
Answer: LCM of 429, 905, 737, 573, 312 is 39746970120.
2. How to calculate the LCM of 429, 905, 737, 573, 312?
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, 905, 737, 573, 312.
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}.