Find the LCM of 429, 316, 869, 735, 654 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, 316, 869, 735, 654. So, keep reading to learn more.
Given numbers are 429,316,869,735,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,316,869,735,654 is 3620236620.
Find LCM of 429,316,869,735,654 with Prime Factorization
2 | 429, 316, 869, 735, 654 |
3 | 429, 158, 869, 735, 327 |
11 | 143, 158, 869, 245, 109 |
79 | 13, 158, 79, 245, 109 |
13, 2, 1, 245, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 79 x 13 x 2 x 1 x 245 x 109 = 3620236620
Therefore, the lowest common multiple of 429,316,869,735,654 is 3620236620.
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 316 x 869 x 735 x 654 = 56627741210040
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
316 : 1, 2, 4, 79, 158, 316
869 : 1, 11, 79, 869
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,316,869,735,654, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
316:2x 2x 79
869:11x 79
735:3x 5x 7x 7
654:2x 3x 109
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 79 = 15642
Therefore, the value for common factors is 15642.
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 = 56627741210040/(1x15642)
LCM = 56627741210040/15642
LCM = 3620236620
Thus, we can understand that the LCM of 429,316,869,735,654 is 3620236620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 316, 869, 735, 654?
Answer: LCM of 429, 316, 869, 735, 654 is 3620236620.
2. How to calculate the LCM of 429, 316, 869, 735, 654?
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, 316, 869, 735, 654.
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}.