LCM of 369, 561, 624, 533, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 561, 624, 533, 859 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 369, 561, 624, 533, 859. So, keep reading to learn more.
Given numbers are 369,561,624,533,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,561,624,533,859 is 12328904016.
Find LCM of 369,561,624,533,859 with Prime Factorization
| 3 | 369, 561, 624, 533, 859 |
| 13 | 123, 187, 208, 533, 859 |
| 41 | 123, 187, 16, 41, 859 |
| 3, 187, 16, 1, 859 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 41 x 3 x 187 x 16 x 1 x 859 = 12328904016
Therefore, the lowest common multiple of 369,561,624,533,859 is 12328904016.
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.
369 x 561 x 624 x 533 x 859 = 59141752564752
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.
369 : 1, 3, 9, 41, 123, 369
561 : 1, 3, 11, 17, 33, 51, 187, 561
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
533 : 1, 13, 41, 533
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,561,624,533,859, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
561:3x 11x 17
624:2x 2x 2x 2x 3x 13
533:13x 41
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 41 = 4797
Therefore, the value for common factors is 4797.
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 = 59141752564752/(1x4797)
LCM = 59141752564752/4797
LCM = 12328904016
Thus, we can understand that the LCM of 369,561,624,533,859 is 12328904016.
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FAQs on LCM of 369, 561, 624, 533, 859
1. What is the LCM of 369, 561, 624, 533, 859?
Answer: LCM of 369, 561, 624, 533, 859 is 12328904016.
2. How to calculate the LCM of 369, 561, 624, 533, 859?
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 369, 561, 624, 533, 859.
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}.