LCM of 429, 533, 847, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 533, 847, 418 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, 533, 847, 418. So, keep reading to learn more.
Given numbers are 429,533,847,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,533,847,418 is 51465414.
Find LCM of 429,533,847,418 with Prime Factorization
| 11 | 429, 533, 847, 418 |
| 13 | 39, 533, 77, 38 |
| 3, 41, 77, 38 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 3 x 41 x 77 x 38 = 51465414
Therefore, the lowest common multiple of 429,533,847,418 is 51465414.
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 533 x 847 x 418 = 80955096222
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
533 : 1, 13, 41, 533
847 : 1, 7, 11, 77, 121, 847
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,533,847,418, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
533:13x 41
847:7x 11x 11
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13 = 1573
Therefore, the value for common factors is 1573.
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 = 80955096222/(1x1573)
LCM = 80955096222/1573
LCM = 51465414
Thus, we can understand that the LCM of 429,533,847,418 is 51465414.
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FAQs on LCM of 429, 533, 847, 418
1. What is the LCM of 429, 533, 847, 418?
Answer: LCM of 429, 533, 847, 418 is 51465414.
2. How to calculate the LCM of 429, 533, 847, 418?
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, 533, 847, 418.
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}.