LCM of 528, 901, 894, 466, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 901, 894, 466, 109 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 528, 901, 894, 466, 109. So, keep reading to learn more.
Given numbers are 528,901,894,466,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,901,894,466,109 is 1800227538384.
Find LCM of 528,901,894,466,109 with Prime Factorization
| 2 | 528, 901, 894, 466, 109 |
| 3 | 264, 901, 447, 233, 109 |
| 88, 901, 149, 233, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 88 x 901 x 149 x 233 x 109 = 1800227538384
Therefore, the lowest common multiple of 528,901,894,466,109 is 1800227538384.
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.
528 x 901 x 894 x 466 x 109 = 21602730460608
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
901 : 1, 17, 53, 901
894 : 1, 2, 3, 6, 149, 298, 447, 894
466 : 1, 2, 233, 466
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,901,894,466,109, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
901:17x 53
894:2x 3x 149
466:2x 233
109:109
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 3 = 12
Therefore, the value for common factors is 12.
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 = 21602730460608/(1x12)
LCM = 21602730460608/12
LCM = 1800227538384
Thus, we can understand that the LCM of 528,901,894,466,109 is 1800227538384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 528, 901, 894, 466, 109
1. What is the LCM of 528, 901, 894, 466, 109?
Answer: LCM of 528, 901, 894, 466, 109 is 1800227538384.
2. How to calculate the LCM of 528, 901, 894, 466, 109?
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 528, 901, 894, 466, 109.
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}.