LCM of 276, 562, 676, 930, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 562, 676, 930, 618 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, 562, 676, 930, 618. So, keep reading to learn more.
Given numbers are 276,562,676,930,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,562,676,930,618 is 209252680260.
Find LCM of 276,562,676,930,618 with Prime Factorization
| 2 | 276, 562, 676, 930, 618 |
| 2 | 138, 281, 338, 465, 309 |
| 3 | 69, 281, 169, 465, 309 |
| 23, 281, 169, 155, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 281 x 169 x 155 x 103 = 209252680260
Therefore, the lowest common multiple of 276,562,676,930,618 is 209252680260.
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 562 x 676 x 930 x 618 = 60264771914880
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
562 : 1, 2, 281, 562
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
618 : 1, 2, 3, 6, 103, 206, 309, 618
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,562,676,930,618, is 2.
Now, the common factors can be found like this.
276:2x 2x 3x 23
562:2x 281
676:2x 2x 13x 13
930:2x 3x 5x 31
618:2x 3x 103
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 3 = 144
Therefore, the value for common factors is 144.
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 = 60264771914880/(2x144)
LCM = 60264771914880/288
LCM = 209252680260
Thus, we can understand that the LCM of 276,562,676,930,618 is 209252680260.
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FAQs on LCM of 276, 562, 676, 930, 618
1. What is the LCM of 276, 562, 676, 930, 618?
Answer: LCM of 276, 562, 676, 930, 618 is 209252680260.
2. How to calculate the LCM of 276, 562, 676, 930, 618?
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, 562, 676, 930, 618.
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}.