LCM of 276, 642, 874, 538, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 642, 874, 538, 467 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 276, 642, 874, 538, 467. So, keep reading to learn more.
Given numbers are 276,642,874,538,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,642,874,538,467 is 70488070284.
Find LCM of 276,642,874,538,467 with Prime Factorization
| 2 | 276, 642, 874, 538, 467 |
| 3 | 138, 321, 437, 269, 467 |
| 23 | 46, 107, 437, 269, 467 |
| 2, 107, 19, 269, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 2 x 107 x 19 x 269 x 467 = 70488070284
Therefore, the lowest common multiple of 276,642,874,538,467 is 70488070284.
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.
276 x 642 x 874 x 538 x 467 = 38909414796768
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
642 : 1, 2, 3, 6, 107, 214, 321, 642
874 : 1, 2, 19, 23, 38, 46, 437, 874
538 : 1, 2, 269, 538
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,642,874,538,467, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
642:2x 3x 107
874:2x 19x 23
538:2x 269
467:467
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 38909414796768/(1x552)
LCM = 38909414796768/552
LCM = 70488070284
Thus, we can understand that the LCM of 276,642,874,538,467 is 70488070284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 276, 642, 874, 538, 467
1. What is the LCM of 276, 642, 874, 538, 467?
Answer: LCM of 276, 642, 874, 538, 467 is 70488070284.
2. How to calculate the LCM of 276, 642, 874, 538, 467?
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 276, 642, 874, 538, 467.
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}.