LCM of 429, 426, 363, 639, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 426, 363, 639, 739 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, 426, 363, 639, 739. So, keep reading to learn more.
Given numbers are 429,426,363,639,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,426,363,639,739 is 1485607266.
Find LCM of 429,426,363,639,739 with Prime Factorization
| 3 | 429, 426, 363, 639, 739 |
| 11 | 143, 142, 121, 213, 739 |
| 71 | 13, 142, 11, 213, 739 |
| 13, 2, 11, 3, 739 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 71 x 13 x 2 x 11 x 3 x 739 = 1485607266
Therefore, the lowest common multiple of 429,426,363,639,739 is 1485607266.
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 426 x 363 x 639 x 739 = 31327000418142
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
363 : 1, 3, 11, 33, 121, 363
639 : 1, 3, 9, 71, 213, 639
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,426,363,639,739, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
426:2x 3x 71
363:3x 11x 11
639:3x 3x 71
739:739
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 3x 11x 71 = 21087
Therefore, the value for common factors is 21087.
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 = 31327000418142/(1x21087)
LCM = 31327000418142/21087
LCM = 1485607266
Thus, we can understand that the LCM of 429,426,363,639,739 is 1485607266.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 426, 363, 639, 739
1. What is the LCM of 429, 426, 363, 639, 739?
Answer: LCM of 429, 426, 363, 639, 739 is 1485607266.
2. How to calculate the LCM of 429, 426, 363, 639, 739?
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, 426, 363, 639, 739.
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}.