LCM of 527, 748, 506, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 748, 506, 429 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 527, 748, 506, 429. So, keep reading to learn more.
Given numbers are 527,748,506,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,748,506,429 is 20799636.
Find LCM of 527,748,506,429 with Prime Factorization
| 2 | 527, 748, 506, 429 |
| 11 | 527, 374, 253, 429 |
| 17 | 527, 34, 23, 39 |
| 31, 2, 23, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 31 x 2 x 23 x 39 = 20799636
Therefore, the lowest common multiple of 527,748,506,429 is 20799636.
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.
527 x 748 x 506 x 429 = 85569702504
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.
527 : 1, 17, 31, 527
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
506 : 1, 2, 11, 22, 23, 46, 253, 506
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,748,506,429, is 1.
Now, the common factors can be found like this.
527:17x 31
748:2x 2x 11x 17
506:2x 11x 23
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 17 = 4114
Therefore, the value for common factors is 4114.
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 = 85569702504/(1x4114)
LCM = 85569702504/4114
LCM = 20799636
Thus, we can understand that the LCM of 527,748,506,429 is 20799636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 748, 506, 429
1. What is the LCM of 527, 748, 506, 429?
Answer: LCM of 527, 748, 506, 429 is 20799636.
2. How to calculate the LCM of 527, 748, 506, 429?
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 527, 748, 506, 429.
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}.