LCM of 429, 506, 270, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 506, 270, 294 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, 506, 270, 294. So, keep reading to learn more.
Given numbers are 429,506,270,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,506,270,294 is 43513470.
Find LCM of 429,506,270,294 with Prime Factorization
| 2 | 429, 506, 270, 294 |
| 3 | 429, 253, 135, 147 |
| 11 | 143, 253, 45, 49 |
| 13, 23, 45, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 23 x 45 x 49 = 43513470
Therefore, the lowest common multiple of 429,506,270,294 is 43513470.
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 506 x 270 x 294 = 17231334120
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,506,270,294, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
506:2x 11x 23
270:2x 3x 3x 3x 5
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 17231334120/(1x396)
LCM = 17231334120/396
LCM = 43513470
Thus, we can understand that the LCM of 429,506,270,294 is 43513470.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 429, 506, 270, 294
1. What is the LCM of 429, 506, 270, 294?
Answer: LCM of 429, 506, 270, 294 is 43513470.
2. How to calculate the LCM of 429, 506, 270, 294?
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, 506, 270, 294.
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}.