LCM of 294, 267, 706, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 267, 706, 506 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 294, 267, 706, 506. So, keep reading to learn more.
Given numbers are 294,267,706,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,267,706,506 is 2336859294.
Find LCM of 294,267,706,506 with Prime Factorization
| 2 | 294, 267, 706, 506 |
| 3 | 147, 267, 353, 253 |
| 49, 89, 353, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 49 x 89 x 353 x 253 = 2336859294
Therefore, the lowest common multiple of 294,267,706,506 is 2336859294.
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.
294 x 267 x 706 x 506 = 28042311528
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
267 : 1, 3, 89, 267
706 : 1, 2, 353, 706
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,267,706,506, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
267:3x 89
706:2x 353
506:2x 11x 23
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 3 = 12
Therefore, the value for common factors is 12.
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 = 28042311528/(1x12)
LCM = 28042311528/12
LCM = 2336859294
Thus, we can understand that the LCM of 294,267,706,506 is 2336859294.
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FAQs on LCM of 294, 267, 706, 506
1. What is the LCM of 294, 267, 706, 506?
Answer: LCM of 294, 267, 706, 506 is 2336859294.
2. How to calculate the LCM of 294, 267, 706, 506?
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 294, 267, 706, 506.
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}.