Find the LCM of 429, 759, 669, 748, 302 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, 759, 669, 748, 302. So, keep reading to learn more.
Given numbers are 429,759,669,748,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,759,669,748,302 is 22593101388.
Find LCM of 429,759,669,748,302 with Prime Factorization
2 | 429, 759, 669, 748, 302 |
3 | 429, 759, 669, 374, 151 |
11 | 143, 253, 223, 374, 151 |
13, 23, 223, 34, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 23 x 223 x 34 x 151 = 22593101388
Therefore, the lowest common multiple of 429,759,669,748,302 is 22593101388.
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 759 x 669 x 748 x 302 = 49207774823064
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
669 : 1, 3, 223, 669
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,759,669,748,302, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
759:3x 11x 23
669:3x 223
748:2x 2x 11x 17
302:2x 151
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 11 = 2178
Therefore, the value for common factors is 2178.
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 = 49207774823064/(1x2178)
LCM = 49207774823064/2178
LCM = 22593101388
Thus, we can understand that the LCM of 429,759,669,748,302 is 22593101388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 759, 669, 748, 302?
Answer: LCM of 429, 759, 669, 748, 302 is 22593101388.
2. How to calculate the LCM of 429, 759, 669, 748, 302?
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, 759, 669, 748, 302.
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}.