LCM of 221, 759, 156, 561, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 759, 156, 561, 572 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 221, 759, 156, 561, 572. So, keep reading to learn more.
Given numbers are 221,759,156,561,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,759,156,561,572 is 670956.
Find LCM of 221,759,156,561,572 with Prime Factorization
| 2 | 221, 759, 156, 561, 572 |
| 2 | 221, 759, 78, 561, 286 |
| 3 | 221, 759, 39, 561, 143 |
| 11 | 221, 253, 13, 187, 143 |
| 13 | 221, 23, 13, 17, 13 |
| 17 | 17, 23, 1, 17, 1 |
| 1, 23, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 1 x 23 x 1 x 1 x 1 = 670956
Therefore, the lowest common multiple of 221,759,156,561,572 is 670956.
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.
221 x 759 x 156 x 561 x 572 = 8396872097328
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.
221 : 1, 13, 17, 221
759 : 1, 3, 11, 23, 33, 69, 253, 759
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
561 : 1, 3, 11, 17, 33, 51, 187, 561
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,759,156,561,572, is 1.
Now, the common factors can be found like this.
221:13x 17
759:3x 11x 23
156:2x 2x 3x 13
561:3x 11x 17
572:2x 2x 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 2x 3x 3x 11x 11x 13x 13x 17 = 12514788
Therefore, the value for common factors is 12514788.
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 = 8396872097328/(1x12514788)
LCM = 8396872097328/12514788
LCM = 670956
Thus, we can understand that the LCM of 221,759,156,561,572 is 670956.
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FAQs on LCM of 221, 759, 156, 561, 572
1. What is the LCM of 221, 759, 156, 561, 572?
Answer: LCM of 221, 759, 156, 561, 572 is 670956.
2. How to calculate the LCM of 221, 759, 156, 561, 572?
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 221, 759, 156, 561, 572.
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}.