LCM of 429, 735, 507, 416, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 735, 507, 416, 274 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, 735, 507, 416, 274. So, keep reading to learn more.
Given numbers are 429,735,507,416,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,735,507,416,274 is 5990144160.
Find LCM of 429,735,507,416,274 with Prime Factorization
| 2 | 429, 735, 507, 416, 274 |
| 3 | 429, 735, 507, 208, 137 |
| 13 | 143, 245, 169, 208, 137 |
| 11, 245, 13, 16, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 11 x 245 x 13 x 16 x 137 = 5990144160
Therefore, the lowest common multiple of 429,735,507,416,274 is 5990144160.
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 735 x 507 x 416 x 274 = 18222018534720
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
507 : 1, 3, 13, 39, 169, 507
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,735,507,416,274, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
735:3x 5x 7x 7
507:3x 13x 13
416:2x 2x 2x 2x 2x 13
274:2x 137
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 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 18222018534720/(1x3042)
LCM = 18222018534720/3042
LCM = 5990144160
Thus, we can understand that the LCM of 429,735,507,416,274 is 5990144160.
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FAQs on LCM of 429, 735, 507, 416, 274
1. What is the LCM of 429, 735, 507, 416, 274?
Answer: LCM of 429, 735, 507, 416, 274 is 5990144160.
2. How to calculate the LCM of 429, 735, 507, 416, 274?
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, 735, 507, 416, 274.
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}.