LCM of 267, 676, 356, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 676, 356, 852 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 267, 676, 356, 852. So, keep reading to learn more.
Given numbers are 267,676,356,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,676,356,852 is 12814932.
Find LCM of 267,676,356,852 with Prime Factorization
| 2 | 267, 676, 356, 852 |
| 2 | 267, 338, 178, 426 |
| 3 | 267, 169, 89, 213 |
| 89 | 89, 169, 89, 71 |
| 1, 169, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 89 x 1 x 169 x 1 x 71 = 12814932
Therefore, the lowest common multiple of 267,676,356,852 is 12814932.
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.
267 x 676 x 356 x 852 = 54745389504
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.
267 : 1, 3, 89, 267
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
356 : 1, 2, 4, 89, 178, 356
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,676,356,852, is 1.
Now, the common factors can be found like this.
267:3x 89
676:2x 2x 13x 13
356:2x 2x 89
852:2x 2x 3x 71
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 2x 2x 3x 89 = 4272
Therefore, the value for common factors is 4272.
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 = 54745389504/(1x4272)
LCM = 54745389504/4272
LCM = 12814932
Thus, we can understand that the LCM of 267,676,356,852 is 12814932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 676, 356, 852
1. What is the LCM of 267, 676, 356, 852?
Answer: LCM of 267, 676, 356, 852 is 12814932.
2. How to calculate the LCM of 267, 676, 356, 852?
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 267, 676, 356, 852.
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}.